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Finding the Fourth Proportional to 17,139.76, 25,713.50 and 6,047.24

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Solution

The fourth proportional to 17,139.76, 25,713.50 and 6,047.24 is: 9,072.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,139.76 : 25,713.50 = 6,047.24 : x
  2. Step 2: Convert to fraction form
    17,139.76/25,713.50 = 6,047.24/x
  3. Step 3: Cross multiply
    17,139.76x = 25,713.50 × 6,047.24
  4. Step 4: Simplify right side
    17,139.76x = 155,495,705.74
  5. Step 5: Solve for x
    x = 155,495,705.74/17,139.76
  6. Step 6: Final answer
    x = 9,072.22

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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.