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Finding the Fourth Proportional to 15,089.50, 20,815.77 and 9,712.90

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Solution

The fourth proportional to 15,089.50, 20,815.77 and 9,712.90 is: 13,398.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,089.50 : 20,815.77 = 9,712.90 : x
  2. Step 2: Convert to fraction form
    15,089.50/20,815.77 = 9,712.90/x
  3. Step 3: Cross multiply
    15,089.50x = 20,815.77 × 9,712.90
  4. Step 4: Simplify right side
    15,089.50x = 202,181,492.43
  5. Step 5: Solve for x
    x = 202,181,492.43/15,089.50
  6. Step 6: Final answer
    x = 13,398.82

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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.