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Finding the Fourth Proportional to 22,663.64, 31,276.50 and 13,712.78

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Solution

The fourth proportional to 22,663.64, 31,276.50 and 13,712.78 is: 18,924.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,663.64 : 31,276.50 = 13,712.78 : x
  2. Step 2: Convert to fraction form
    22,663.64/31,276.50 = 13,712.78/x
  3. Step 3: Cross multiply
    22,663.64x = 31,276.50 × 13,712.78
  4. Step 4: Simplify right side
    22,663.64x = 428,887,763.67
  5. Step 5: Solve for x
    x = 428,887,763.67/22,663.64
  6. Step 6: Final answer
    x = 18,924.05

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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.