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Finding the Fourth Proportional to 24,823.50, 34,285.68 and 16,425.42

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Solution

The fourth proportional to 24,823.50, 34,285.68 and 16,425.42 is: 22,686.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,823.50 : 34,285.68 = 16,425.42 : x
  2. Step 2: Convert to fraction form
    24,823.50/34,285.68 = 16,425.42/x
  3. Step 3: Cross multiply
    24,823.50x = 34,285.68 × 16,425.42
  4. Step 4: Simplify right side
    24,823.50x = 563,156,693.99
  5. Step 5: Solve for x
    x = 563,156,693.99/24,823.50
  6. Step 6: Final answer
    x = 22,686.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.