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Finding the Fourth Proportional to 19,337.56, 29,000 and 6,186.80

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Solution

The fourth proportional to 19,337.56, 29,000 and 6,186.80 is: 9,278.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,337.56 : 29,000 = 6,186.80 : x
  2. Step 2: Convert to fraction form
    19,337.56/29,000 = 6,186.80/x
  3. Step 3: Cross multiply
    19,337.56x = 29,000 × 6,186.80
  4. Step 4: Simplify right side
    19,337.56x = 179,417,200
  5. Step 5: Solve for x
    x = 179,417,200/19,337.56
  6. Step 6: Final answer
    x = 9,278.17

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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.