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Finding the Fourth Proportional to 22,686.78, 34,024.02 and 14,354.28

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Solution

The fourth proportional to 22,686.78, 34,024.02 and 14,354.28 is: 21,527.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,686.78 : 34,024.02 = 14,354.28 : x
  2. Step 2: Convert to fraction form
    22,686.78/34,024.02 = 14,354.28/x
  3. Step 3: Cross multiply
    22,686.78x = 34,024.02 × 14,354.28
  4. Step 4: Simplify right side
    22,686.78x = 488,390,309.81
  5. Step 5: Solve for x
    x = 488,390,309.81/22,686.78
  6. Step 6: Final answer
    x = 21,527.53

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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.