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Finding the Fourth Proportional to 22,658.31, 31,274.64 and 14,700.06

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Solution

The fourth proportional to 22,658.31, 31,274.64 and 14,700.06 is: 20,290.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,658.31 : 31,274.64 = 14,700.06 : x
  2. Step 2: Convert to fraction form
    22,658.31/31,274.64 = 14,700.06/x
  3. Step 3: Cross multiply
    22,658.31x = 31,274.64 × 14,700.06
  4. Step 4: Simplify right side
    22,658.31x = 459,739,084.48
  5. Step 5: Solve for x
    x = 459,739,084.48/22,658.31
  6. Step 6: Final answer
    x = 20,290.09

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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.