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Finding the Fourth Proportional to 25,708.60, 38,565.74 and 8,174.33

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Solution

The fourth proportional to 25,708.60, 38,565.74 and 8,174.33 is: 12,262.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,708.60 : 38,565.74 = 8,174.33 : x
  2. Step 2: Convert to fraction form
    25,708.60/38,565.74 = 8,174.33/x
  3. Step 3: Cross multiply
    25,708.60x = 38,565.74 × 8,174.33
  4. Step 4: Simplify right side
    25,708.60x = 315,249,085.45
  5. Step 5: Solve for x
    x = 315,249,085.45/25,708.60
  6. Step 6: Final answer
    x = 12,262.40

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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.