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Finding the Fourth Proportional to 21,710.13, 32,565.16 and 14,260.74

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Solution

The fourth proportional to 21,710.13, 32,565.16 and 14,260.74 is: 21,391.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,710.13 : 32,565.16 = 14,260.74 : x
  2. Step 2: Convert to fraction form
    21,710.13/32,565.16 = 14,260.74/x
  3. Step 3: Cross multiply
    21,710.13x = 32,565.16 × 14,260.74
  4. Step 4: Simplify right side
    21,710.13x = 464,403,279.82
  5. Step 5: Solve for x
    x = 464,403,279.82/21,710.13
  6. Step 6: Final answer
    x = 21,391.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.