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Finding the Fourth Proportional to 13,424.90, 20,117.55 and 9,734.90

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Solution

The fourth proportional to 13,424.90, 20,117.55 and 9,734.90 is: 14,587.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,424.90 : 20,117.55 = 9,734.90 : x
  2. Step 2: Convert to fraction form
    13,424.90/20,117.55 = 9,734.90/x
  3. Step 3: Cross multiply
    13,424.90x = 20,117.55 × 9,734.90
  4. Step 4: Simplify right side
    13,424.90x = 195,842,337.50
  5. Step 5: Solve for x
    x = 195,842,337.50/13,424.90
  6. Step 6: Final answer
    x = 14,587.99

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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.