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Finding the Fourth Proportional to 15,889.40, 23,828.62 and 6,031.49

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Solution

The fourth proportional to 15,889.40, 23,828.62 and 6,031.49 is: 9,045.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,889.40 : 23,828.62 = 6,031.49 : x
  2. Step 2: Convert to fraction form
    15,889.40/23,828.62 = 6,031.49/x
  3. Step 3: Cross multiply
    15,889.40x = 23,828.62 × 6,031.49
  4. Step 4: Simplify right side
    15,889.40x = 143,722,083.24
  5. Step 5: Solve for x
    x = 143,722,083.24/15,889.40
  6. Step 6: Final answer
    x = 9,045.16

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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.