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Finding the Fourth Proportional to 15,767.77, 23,657.35 and 7,869.66

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Solution

The fourth proportional to 15,767.77, 23,657.35 and 7,869.66 is: 11,807.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,767.77 : 23,657.35 = 7,869.66 : x
  2. Step 2: Convert to fraction form
    15,767.77/23,657.35 = 7,869.66/x
  3. Step 3: Cross multiply
    15,767.77x = 23,657.35 × 7,869.66
  4. Step 4: Simplify right side
    15,767.77x = 186,175,340.44
  5. Step 5: Solve for x
    x = 186,175,340.44/15,767.77
  6. Step 6: Final answer
    x = 11,807.34

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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.