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Finding the Fourth Proportional to 25,813.91, 38,721.47 and 14,640.77

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Solution

The fourth proportional to 25,813.91, 38,721.47 and 14,640.77 is: 21,961.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,813.91 : 38,721.47 = 14,640.77 : x
  2. Step 2: Convert to fraction form
    25,813.91/38,721.47 = 14,640.77/x
  3. Step 3: Cross multiply
    25,813.91x = 38,721.47 × 14,640.77
  4. Step 4: Simplify right side
    25,813.91x = 566,911,869.52
  5. Step 5: Solve for x
    x = 566,911,869.52/25,813.91
  6. Step 6: Final answer
    x = 21,961.49

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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.