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Finding the Fourth Proportional to 15,883.80, 23,818.14 and 9,312

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Solution

The fourth proportional to 15,883.80, 23,818.14 and 9,312 is: 13,963.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,883.80 : 23,818.14 = 9,312 : x
  2. Step 2: Convert to fraction form
    15,883.80/23,818.14 = 9,312/x
  3. Step 3: Cross multiply
    15,883.80x = 23,818.14 × 9,312
  4. Step 4: Simplify right side
    15,883.80x = 221,794,519.68
  5. Step 5: Solve for x
    x = 221,794,519.68/15,883.80
  6. Step 6: Final answer
    x = 13,963.57

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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.