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Finding the Fourth Proportional to 17,854.48, 24,638.76 and 10,402

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Solution

The fourth proportional to 17,854.48, 24,638.76 and 10,402 is: 14,354.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,854.48 : 24,638.76 = 10,402 : x
  2. Step 2: Convert to fraction form
    17,854.48/24,638.76 = 10,402/x
  3. Step 3: Cross multiply
    17,854.48x = 24,638.76 × 10,402
  4. Step 4: Simplify right side
    17,854.48x = 256,292,381.52
  5. Step 5: Solve for x
    x = 256,292,381.52/17,854.48
  6. Step 6: Final answer
    x = 14,354.51

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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.