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Finding the Fourth Proportional to 17,154.08, 25,731.12 and 4,842.08

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Solution

The fourth proportional to 17,154.08, 25,731.12 and 4,842.08 is: 7,263.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,154.08 : 25,731.12 = 4,842.08 : x
  2. Step 2: Convert to fraction form
    17,154.08/25,731.12 = 4,842.08/x
  3. Step 3: Cross multiply
    17,154.08x = 25,731.12 × 4,842.08
  4. Step 4: Simplify right side
    17,154.08x = 124,592,141.53
  5. Step 5: Solve for x
    x = 124,592,141.53/17,154.08
  6. Step 6: Final answer
    x = 7,263.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.