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Finding the Fourth Proportional to 15,092.64, 22,638.72 and 6,206.16

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Solution

The fourth proportional to 15,092.64, 22,638.72 and 6,206.16 is: 9,309.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,092.64 : 22,638.72 = 6,206.16 : x
  2. Step 2: Convert to fraction form
    15,092.64/22,638.72 = 6,206.16/x
  3. Step 3: Cross multiply
    15,092.64x = 22,638.72 × 6,206.16
  4. Step 4: Simplify right side
    15,092.64x = 140,499,518.52
  5. Step 5: Solve for x
    x = 140,499,518.52/15,092.64
  6. Step 6: Final answer
    x = 9,309.14

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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.