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Finding the Fourth Proportional to 22,671.65, 31,265.95 and 14,171.06

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Solution

The fourth proportional to 22,671.65, 31,265.95 and 14,171.06 is: 19,542.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,671.65 : 31,265.95 = 14,171.06 : x
  2. Step 2: Convert to fraction form
    22,671.65/31,265.95 = 14,171.06/x
  3. Step 3: Cross multiply
    22,671.65x = 31,265.95 × 14,171.06
  4. Step 4: Simplify right side
    22,671.65x = 443,071,653.41
  5. Step 5: Solve for x
    x = 443,071,653.41/22,671.65
  6. Step 6: Final answer
    x = 19,542.98

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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.