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Finding the Fourth Proportional to 17,973.14, 24,802.77 and 10,015.22

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Solution

The fourth proportional to 17,973.14, 24,802.77 and 10,015.22 is: 13,820.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,973.14 : 24,802.77 = 10,015.22 : x
  2. Step 2: Convert to fraction form
    17,973.14/24,802.77 = 10,015.22/x
  3. Step 3: Cross multiply
    17,973.14x = 24,802.77 × 10,015.22
  4. Step 4: Simplify right side
    17,973.14x = 248,405,198.16
  5. Step 5: Solve for x
    x = 248,405,198.16/17,973.14
  6. Step 6: Final answer
    x = 13,820.91

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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.