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Finding the Fourth Proportional to 24,324.40, 33,569.40 and 13,715.02

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Solution

The fourth proportional to 24,324.40, 33,569.40 and 13,715.02 is: 18,927.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,324.40 : 33,569.40 = 13,715.02 : x
  2. Step 2: Convert to fraction form
    24,324.40/33,569.40 = 13,715.02/x
  3. Step 3: Cross multiply
    24,324.40x = 33,569.40 × 13,715.02
  4. Step 4: Simplify right side
    24,324.40x = 460,404,992.39
  5. Step 5: Solve for x
    x = 460,404,992.39/24,324.40
  6. Step 6: Final answer
    x = 18,927.70

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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.