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Finding the Fourth Proportional to 15,658.35, 23,488.62 and 6,298.41

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Solution

The fourth proportional to 15,658.35, 23,488.62 and 6,298.41 is: 9,448.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,658.35 : 23,488.62 = 6,298.41 : x
  2. Step 2: Convert to fraction form
    15,658.35/23,488.62 = 6,298.41/x
  3. Step 3: Cross multiply
    15,658.35x = 23,488.62 × 6,298.41
  4. Step 4: Simplify right side
    15,658.35x = 147,941,023.56
  5. Step 5: Solve for x
    x = 147,941,023.56/15,658.35
  6. Step 6: Final answer
    x = 9,448.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.