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Finding the Fourth Proportional to 19,517.52, 26,934.15 and 10,565.00

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Solution

The fourth proportional to 19,517.52, 26,934.15 and 10,565.00 is: 14,579.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,517.52 : 26,934.15 = 10,565.00 : x
  2. Step 2: Convert to fraction form
    19,517.52/26,934.15 = 10,565.00/x
  3. Step 3: Cross multiply
    19,517.52x = 26,934.15 × 10,565.00
  4. Step 4: Simplify right side
    19,517.52x = 284,559,160.08
  5. Step 5: Solve for x
    x = 284,559,160.08/19,517.52
  6. Step 6: Final answer
    x = 14,579.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.