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Finding the Fourth Proportional to 22,641.72, 31,245.40 and 12,432.64

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Solution

The fourth proportional to 22,641.72, 31,245.40 and 12,432.64 is: 17,156.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,641.72 : 31,245.40 = 12,432.64 : x
  2. Step 2: Convert to fraction form
    22,641.72/31,245.40 = 12,432.64/x
  3. Step 3: Cross multiply
    22,641.72x = 31,245.40 × 12,432.64
  4. Step 4: Simplify right side
    22,641.72x = 388,462,809.86
  5. Step 5: Solve for x
    x = 388,462,809.86/22,641.72
  6. Step 6: Final answer
    x = 17,156.95

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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.