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Finding the Fourth Proportional to 13,616.40, 20,402.22 and 8,411.52

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Solution

The fourth proportional to 13,616.40, 20,402.22 and 8,411.52 is: 12,603.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,616.40 : 20,402.22 = 8,411.52 : x
  2. Step 2: Convert to fraction form
    13,616.40/20,402.22 = 8,411.52/x
  3. Step 3: Cross multiply
    13,616.40x = 20,402.22 × 8,411.52
  4. Step 4: Simplify right side
    13,616.40x = 171,613,681.57
  5. Step 5: Solve for x
    x = 171,613,681.57/13,616.40
  6. Step 6: Final answer
    x = 12,603.45

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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.