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Finding the Fourth Proportional to 16,564.40, 24,839.40 and 4,875.20

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Solution

The fourth proportional to 16,564.40, 24,839.40 and 4,875.20 is: 7,310.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564.40 : 24,839.40 = 4,875.20 : x
  2. Step 2: Convert to fraction form
    16,564.40/24,839.40 = 4,875.20/x
  3. Step 3: Cross multiply
    16,564.40x = 24,839.40 × 4,875.20
  4. Step 4: Simplify right side
    16,564.40x = 121,097,042.88
  5. Step 5: Solve for x
    x = 121,097,042.88/16,564.40
  6. Step 6: Final answer
    x = 7,310.68

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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.