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Finding the Fourth Proportional to 15,813.16, 23,726.62 and 7,499

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Solution

The fourth proportional to 15,813.16, 23,726.62 and 7,499 is: 11,251.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,813.16 : 23,726.62 = 7,499 : x
  2. Step 2: Convert to fraction form
    15,813.16/23,726.62 = 7,499/x
  3. Step 3: Cross multiply
    15,813.16x = 23,726.62 × 7,499
  4. Step 4: Simplify right side
    15,813.16x = 177,925,923.38
  5. Step 5: Solve for x
    x = 177,925,923.38/15,813.16
  6. Step 6: Final answer
    x = 11,251.76

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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.