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Finding the Fourth Proportional to 17,760.02, 24,507.78 and 9,802.04

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Solution

The fourth proportional to 17,760.02, 24,507.78 and 9,802.04 is: 13,526.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,760.02 : 24,507.78 = 9,802.04 : x
  2. Step 2: Convert to fraction form
    17,760.02/24,507.78 = 9,802.04/x
  3. Step 3: Cross multiply
    17,760.02x = 24,507.78 × 9,802.04
  4. Step 4: Simplify right side
    17,760.02x = 240,226,239.87
  5. Step 5: Solve for x
    x = 240,226,239.87/17,760.02
  6. Step 6: Final answer
    x = 13,526.24

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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.