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Finding the Fourth Proportional to 15,759, 23,642.55 and 5,898.42

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Solution

The fourth proportional to 15,759, 23,642.55 and 5,898.42 is: 8,849.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,759 : 23,642.55 = 5,898.42 : x
  2. Step 2: Convert to fraction form
    15,759/23,642.55 = 5,898.42/x
  3. Step 3: Cross multiply
    15,759x = 23,642.55 × 5,898.42
  4. Step 4: Simplify right side
    15,759x = 139,453,689.77
  5. Step 5: Solve for x
    x = 139,453,689.77/15,759
  6. Step 6: Final answer
    x = 8,849.15

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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.