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Finding the Fourth Proportional to 22,981.59, 31,714.72 and 12,910.46

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Solution

The fourth proportional to 22,981.59, 31,714.72 and 12,910.46 is: 17,816.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,981.59 : 31,714.72 = 12,910.46 : x
  2. Step 2: Convert to fraction form
    22,981.59/31,714.72 = 12,910.46/x
  3. Step 3: Cross multiply
    22,981.59x = 31,714.72 × 12,910.46
  4. Step 4: Simplify right side
    22,981.59x = 409,451,433.12
  5. Step 5: Solve for x
    x = 409,451,433.12/22,981.59
  6. Step 6: Final answer
    x = 17,816.50

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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.