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Finding the Fourth Proportional to 17,762.51, 24,509.57 and 11,802.93

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Solution

The fourth proportional to 17,762.51, 24,509.57 and 11,802.93 is: 16,286.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,762.51 : 24,509.57 = 11,802.93 : x
  2. Step 2: Convert to fraction form
    17,762.51/24,509.57 = 11,802.93/x
  3. Step 3: Cross multiply
    17,762.51x = 24,509.57 × 11,802.93
  4. Step 4: Simplify right side
    17,762.51x = 289,284,680.03
  5. Step 5: Solve for x
    x = 289,284,680.03/17,762.51
  6. Step 6: Final answer
    x = 16,286.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.