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Finding the Fourth Proportional to 16,204.80, 24,307.20 and 16,102.40

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Solution

The fourth proportional to 16,204.80, 24,307.20 and 16,102.40 is: 24,153.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,204.80 : 24,307.20 = 16,102.40 : x
  2. Step 2: Convert to fraction form
    16,204.80/24,307.20 = 16,102.40/x
  3. Step 3: Cross multiply
    16,204.80x = 24,307.20 × 16,102.40
  4. Step 4: Simplify right side
    16,204.80x = 391,404,257.28
  5. Step 5: Solve for x
    x = 391,404,257.28/16,204.80
  6. Step 6: Final answer
    x = 24,153.60

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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.