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Finding the Fourth Proportional to 15,854.90, 23,766.15 and 9,277.70

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Solution

The fourth proportional to 15,854.90, 23,766.15 and 9,277.70 is: 13,907.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,854.90 : 23,766.15 = 9,277.70 : x
  2. Step 2: Convert to fraction form
    15,854.90/23,766.15 = 9,277.70/x
  3. Step 3: Cross multiply
    15,854.90x = 23,766.15 × 9,277.70
  4. Step 4: Simplify right side
    15,854.90x = 220,495,209.86
  5. Step 5: Solve for x
    x = 220,495,209.86/15,854.90
  6. Step 6: Final answer
    x = 13,907.07

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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.