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Finding the Fourth Proportional to 21,658.40, 32,468.61 and 10,408.13

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Solution

The fourth proportional to 21,658.40, 32,468.61 and 10,408.13 is: 15,603.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,658.40 : 32,468.61 = 10,408.13 : x
  2. Step 2: Convert to fraction form
    21,658.40/32,468.61 = 10,408.13/x
  3. Step 3: Cross multiply
    21,658.40x = 32,468.61 × 10,408.13
  4. Step 4: Simplify right side
    21,658.40x = 337,937,473.21
  5. Step 5: Solve for x
    x = 337,937,473.21/21,658.40
  6. Step 6: Final answer
    x = 15,603.07

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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.