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Finding the Fourth Proportional to 22,829.40, 34,301.70 and 14,513.40

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Solution

The fourth proportional to 22,829.40, 34,301.70 and 14,513.40 is: 21,806.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,829.40 : 34,301.70 = 14,513.40 : x
  2. Step 2: Convert to fraction form
    22,829.40/34,301.70 = 14,513.40/x
  3. Step 3: Cross multiply
    22,829.40x = 34,301.70 × 14,513.40
  4. Step 4: Simplify right side
    22,829.40x = 497,834,292.78
  5. Step 5: Solve for x
    x = 497,834,292.78/22,829.40
  6. Step 6: Final answer
    x = 21,806.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.