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Finding the Fourth Proportional to 19,810.60, 29,713.34 and 7,497

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Solution

The fourth proportional to 19,810.60, 29,713.34 and 7,497 is: 11,244.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,810.60 : 29,713.34 = 7,497 : x
  2. Step 2: Convert to fraction form
    19,810.60/29,713.34 = 7,497/x
  3. Step 3: Cross multiply
    19,810.60x = 29,713.34 × 7,497
  4. Step 4: Simplify right side
    19,810.60x = 222,760,909.98
  5. Step 5: Solve for x
    x = 222,760,909.98/19,810.60
  6. Step 6: Final answer
    x = 11,244.53

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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.