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Finding the Fourth Proportional to 16,002.40, 24,010.80 and 7,232.80

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Solution

The fourth proportional to 16,002.40, 24,010.80 and 7,232.80 is: 10,852.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,002.40 : 24,010.80 = 7,232.80 : x
  2. Step 2: Convert to fraction form
    16,002.40/24,010.80 = 7,232.80/x
  3. Step 3: Cross multiply
    16,002.40x = 24,010.80 × 7,232.80
  4. Step 4: Simplify right side
    16,002.40x = 173,665,314.24
  5. Step 5: Solve for x
    x = 173,665,314.24/16,002.40
  6. Step 6: Final answer
    x = 10,852.45

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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.