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Finding the Fourth Proportional to 15,025.10, 22,538.86 and 5,164.38

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Solution

The fourth proportional to 15,025.10, 22,538.86 and 5,164.38 is: 7,746.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,025.10 : 22,538.86 = 5,164.38 : x
  2. Step 2: Convert to fraction form
    15,025.10/22,538.86 = 5,164.38/x
  3. Step 3: Cross multiply
    15,025.10x = 22,538.86 × 5,164.38
  4. Step 4: Simplify right side
    15,025.10x = 116,399,224.90
  5. Step 5: Solve for x
    x = 116,399,224.90/15,025.10
  6. Step 6: Final answer
    x = 7,746.99

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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.