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Finding the Fourth Proportional to 17,140.68, 25,713.10 and 6,045.10

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Solution

The fourth proportional to 17,140.68, 25,713.10 and 6,045.10 is: 9,068.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,140.68 : 25,713.10 = 6,045.10 : x
  2. Step 2: Convert to fraction form
    17,140.68/25,713.10 = 6,045.10/x
  3. Step 3: Cross multiply
    17,140.68x = 25,713.10 × 6,045.10
  4. Step 4: Simplify right side
    17,140.68x = 155,438,170.08
  5. Step 5: Solve for x
    x = 155,438,170.08/17,140.68
  6. Step 6: Final answer
    x = 9,068.38

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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.