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Finding the Fourth Proportional to 16,030.68, 24,043.59 and 5,640

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Solution

The fourth proportional to 16,030.68, 24,043.59 and 5,640 is: 8,459.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,030.68 : 24,043.59 = 5,640 : x
  2. Step 2: Convert to fraction form
    16,030.68/24,043.59 = 5,640/x
  3. Step 3: Cross multiply
    16,030.68x = 24,043.59 × 5,640
  4. Step 4: Simplify right side
    16,030.68x = 135,605,847.60
  5. Step 5: Solve for x
    x = 135,605,847.60/16,030.68
  6. Step 6: Final answer
    x = 8,459.15

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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.