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Finding the Fourth Proportional to 15,478.56, 23,220 and 5,088.96

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Solution

The fourth proportional to 15,478.56, 23,220 and 5,088.96 is: 7,634.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,478.56 : 23,220 = 5,088.96 : x
  2. Step 2: Convert to fraction form
    15,478.56/23,220 = 5,088.96/x
  3. Step 3: Cross multiply
    15,478.56x = 23,220 × 5,088.96
  4. Step 4: Simplify right side
    15,478.56x = 118,165,651.20
  5. Step 5: Solve for x
    x = 118,165,651.20/15,478.56
  6. Step 6: Final answer
    x = 7,634.15

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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.