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Finding the Fourth Proportional to 24,097.56, 36,147.24 and 7,456.08

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Solution

The fourth proportional to 24,097.56, 36,147.24 and 7,456.08 is: 11,184.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,097.56 : 36,147.24 = 7,456.08 : x
  2. Step 2: Convert to fraction form
    24,097.56/36,147.24 = 7,456.08/x
  3. Step 3: Cross multiply
    24,097.56x = 36,147.24 × 7,456.08
  4. Step 4: Simplify right side
    24,097.56x = 269,516,713.22
  5. Step 5: Solve for x
    x = 269,516,713.22/24,097.56
  6. Step 6: Final answer
    x = 11,184.40

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1.5x scale

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.