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Finding the Fourth Proportional to 12,547.37, 18,825.66 and 5,149.84

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Solution

The fourth proportional to 12,547.37, 18,825.66 and 5,149.84 is: 7,726.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,547.37 : 18,825.66 = 5,149.84 : x
  2. Step 2: Convert to fraction form
    12,547.37/18,825.66 = 5,149.84/x
  3. Step 3: Cross multiply
    12,547.37x = 18,825.66 × 5,149.84
  4. Step 4: Simplify right side
    12,547.37x = 96,949,089.83
  5. Step 5: Solve for x
    x = 96,949,089.83/12,547.37
  6. Step 6: Final answer
    x = 7,726.65

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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.