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Finding the Fourth Proportional to 16,443.70, 24,655.68 and 7,547.90

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Solution

The fourth proportional to 16,443.70, 24,655.68 and 7,547.90 is: 11,317.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,443.70 : 24,655.68 = 7,547.90 : x
  2. Step 2: Convert to fraction form
    16,443.70/24,655.68 = 7,547.90/x
  3. Step 3: Cross multiply
    16,443.70x = 24,655.68 × 7,547.90
  4. Step 4: Simplify right side
    16,443.70x = 186,098,507.85
  5. Step 5: Solve for x
    x = 186,098,507.85/16,443.70
  6. Step 6: Final answer
    x = 11,317.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.