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Finding the Fourth Proportional to 15,891.20, 23,818.88 and 6,024.32

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Solution

The fourth proportional to 15,891.20, 23,818.88 and 6,024.32 is: 9,029.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,891.20 : 23,818.88 = 6,024.32 : x
  2. Step 2: Convert to fraction form
    15,891.20/23,818.88 = 6,024.32/x
  3. Step 3: Cross multiply
    15,891.20x = 23,818.88 × 6,024.32
  4. Step 4: Simplify right side
    15,891.20x = 143,492,555.16
  5. Step 5: Solve for x
    x = 143,492,555.16/15,891.20
  6. Step 6: Final answer
    x = 9,029.69

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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.