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Finding the Fourth Proportional to 25,899.71, 38,861.35 and 12,565.50

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Solution

The fourth proportional to 25,899.71, 38,861.35 and 12,565.50 is: 18,853.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,899.71 : 38,861.35 = 12,565.50 : x
  2. Step 2: Convert to fraction form
    25,899.71/38,861.35 = 12,565.50/x
  3. Step 3: Cross multiply
    25,899.71x = 38,861.35 × 12,565.50
  4. Step 4: Simplify right side
    25,899.71x = 488,312,514.85
  5. Step 5: Solve for x
    x = 488,312,514.85/25,899.71
  6. Step 6: Final answer
    x = 18,853.98

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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.