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Finding the Fourth Proportional to 15,995, 24,001.14 and 7,787

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Solution

The fourth proportional to 15,995, 24,001.14 and 7,787 is: 11,684.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,995 : 24,001.14 = 7,787 : x
  2. Step 2: Convert to fraction form
    15,995/24,001.14 = 7,787/x
  3. Step 3: Cross multiply
    15,995x = 24,001.14 × 7,787
  4. Step 4: Simplify right side
    15,995x = 186,896,877.18
  5. Step 5: Solve for x
    x = 186,896,877.18/15,995
  6. Step 6: Final answer
    x = 11,684.71

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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.