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Finding the Fourth Proportional to 25,773.50, 35,565.63 and 14,288.30

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Solution

The fourth proportional to 25,773.50, 35,565.63 and 14,288.30 is: 19,716.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,773.50 : 35,565.63 = 14,288.30 : x
  2. Step 2: Convert to fraction form
    25,773.50/35,565.63 = 14,288.30/x
  3. Step 3: Cross multiply
    25,773.50x = 35,565.63 × 14,288.30
  4. Step 4: Simplify right side
    25,773.50x = 508,172,262.32
  5. Step 5: Solve for x
    x = 508,172,262.32/25,773.50
  6. Step 6: Final answer
    x = 19,716.85

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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.