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Finding the Fourth Proportional to 23,618.52, 32,593.16 and 13,009.14

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Solution

The fourth proportional to 23,618.52, 32,593.16 and 13,009.14 is: 17,952.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,618.52 : 32,593.16 = 13,009.14 : x
  2. Step 2: Convert to fraction form
    23,618.52/32,593.16 = 13,009.14/x
  3. Step 3: Cross multiply
    23,618.52x = 32,593.16 × 13,009.14
  4. Step 4: Simplify right side
    23,618.52x = 424,008,981.48
  5. Step 5: Solve for x
    x = 424,008,981.48/23,618.52
  6. Step 6: Final answer
    x = 17,952.39

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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.