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Finding the Fourth Proportional to 21,158.40, 31,737.60 and 13,401.60

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Solution

The fourth proportional to 21,158.40, 31,737.60 and 13,401.60 is: 20,102.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,158.40 : 31,737.60 = 13,401.60 : x
  2. Step 2: Convert to fraction form
    21,158.40/31,737.60 = 13,401.60/x
  3. Step 3: Cross multiply
    21,158.40x = 31,737.60 × 13,401.60
  4. Step 4: Simplify right side
    21,158.40x = 425,334,620.16
  5. Step 5: Solve for x
    x = 425,334,620.16/21,158.40
  6. Step 6: Final answer
    x = 20,102.40

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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.