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Finding the Fourth Proportional to 24,097.64, 36,149.99 and 7,459.16

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Solution

The fourth proportional to 24,097.64, 36,149.99 and 7,459.16 is: 11,189.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,097.64 : 36,149.99 = 7,459.16 : x
  2. Step 2: Convert to fraction form
    24,097.64/36,149.99 = 7,459.16/x
  3. Step 3: Cross multiply
    24,097.64x = 36,149.99 × 7,459.16
  4. Step 4: Simplify right side
    24,097.64x = 269,648,341.36
  5. Step 5: Solve for x
    x = 269,648,341.36/24,097.64
  6. Step 6: Final answer
    x = 11,189.83

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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.