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Finding the Fourth Proportional to 22,887.50, 31,585.24 and 12,951.50

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Solution

The fourth proportional to 22,887.50, 31,585.24 and 12,951.50 is: 17,873.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,887.50 : 31,585.24 = 12,951.50 : x
  2. Step 2: Convert to fraction form
    22,887.50/31,585.24 = 12,951.50/x
  3. Step 3: Cross multiply
    22,887.50x = 31,585.24 × 12,951.50
  4. Step 4: Simplify right side
    22,887.50x = 409,076,235.86
  5. Step 5: Solve for x
    x = 409,076,235.86/22,887.50
  6. Step 6: Final answer
    x = 17,873.35

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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.