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Finding the Fourth Proportional to 24,547.52, 36,830.08 and 12,066.24

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Solution

The fourth proportional to 24,547.52, 36,830.08 and 12,066.24 is: 18,103.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,547.52 : 36,830.08 = 12,066.24 : x
  2. Step 2: Convert to fraction form
    24,547.52/36,830.08 = 12,066.24/x
  3. Step 3: Cross multiply
    24,547.52x = 36,830.08 × 12,066.24
  4. Step 4: Simplify right side
    24,547.52x = 444,400,584.50
  5. Step 5: Solve for x
    x = 444,400,584.50/24,547.52
  6. Step 6: Final answer
    x = 18,103.69

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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.