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Finding the Fourth Proportional to 10,264.70, 15,404.54 and 9,652.34

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Solution

The fourth proportional to 10,264.70, 15,404.54 and 9,652.34 is: 14,485.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,264.70 : 15,404.54 = 9,652.34 : x
  2. Step 2: Convert to fraction form
    10,264.70/15,404.54 = 9,652.34/x
  3. Step 3: Cross multiply
    10,264.70x = 15,404.54 × 9,652.34
  4. Step 4: Simplify right side
    10,264.70x = 148,689,857.62
  5. Step 5: Solve for x
    x = 148,689,857.62/10,264.70
  6. Step 6: Final answer
    x = 14,485.55

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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.