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Finding the Fourth Proportional to 19,757.10, 29,658.80 and 15,599.91

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Solution

The fourth proportional to 19,757.10, 29,658.80 and 15,599.91 is: 23,418.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,757.10 : 29,658.80 = 15,599.91 : x
  2. Step 2: Convert to fraction form
    19,757.10/29,658.80 = 15,599.91/x
  3. Step 3: Cross multiply
    19,757.10x = 29,658.80 × 15,599.91
  4. Step 4: Simplify right side
    19,757.10x = 462,674,610.71
  5. Step 5: Solve for x
    x = 462,674,610.71/19,757.10
  6. Step 6: Final answer
    x = 23,418.14

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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.