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Finding the Fourth Proportional to 15,134.40, 20,885.04 and 9,540

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Solution

The fourth proportional to 15,134.40, 20,885.04 and 9,540 is: 13,164.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,134.40 : 20,885.04 = 9,540 : x
  2. Step 2: Convert to fraction form
    15,134.40/20,885.04 = 9,540/x
  3. Step 3: Cross multiply
    15,134.40x = 20,885.04 × 9,540
  4. Step 4: Simplify right side
    15,134.40x = 199,243,281.60
  5. Step 5: Solve for x
    x = 199,243,281.60/15,134.40
  6. Step 6: Final answer
    x = 13,164.93

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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.