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Finding the Fourth Proportional to 15,811.16, 23,723.62 and 7,497

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Solution

The fourth proportional to 15,811.16, 23,723.62 and 7,497 is: 11,248.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,811.16 : 23,723.62 = 7,497 : x
  2. Step 2: Convert to fraction form
    15,811.16/23,723.62 = 7,497/x
  3. Step 3: Cross multiply
    15,811.16x = 23,723.62 × 7,497
  4. Step 4: Simplify right side
    15,811.16x = 177,855,979.14
  5. Step 5: Solve for x
    x = 177,855,979.14/15,811.16
  6. Step 6: Final answer
    x = 11,248.76

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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.