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Finding the Fourth Proportional to 15,854.30, 21,878.88 and 9,139.89

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Solution

The fourth proportional to 15,854.30, 21,878.88 and 9,139.89 is: 12,613.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,854.30 : 21,878.88 = 9,139.89 : x
  2. Step 2: Convert to fraction form
    15,854.30/21,878.88 = 9,139.89/x
  3. Step 3: Cross multiply
    15,854.30x = 21,878.88 × 9,139.89
  4. Step 4: Simplify right side
    15,854.30x = 199,970,556.52
  5. Step 5: Solve for x
    x = 199,970,556.52/15,854.30
  6. Step 6: Final answer
    x = 12,613.02

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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.