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Finding the Fourth Proportional to 24,686.34, 37,012.23 and 9,099.78

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Solution

The fourth proportional to 24,686.34, 37,012.23 and 9,099.78 is: 13,643.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,686.34 : 37,012.23 = 9,099.78 : x
  2. Step 2: Convert to fraction form
    24,686.34/37,012.23 = 9,099.78/x
  3. Step 3: Cross multiply
    24,686.34x = 37,012.23 × 9,099.78
  4. Step 4: Simplify right side
    24,686.34x = 336,803,150.31
  5. Step 5: Solve for x
    x = 336,803,150.31/24,686.34
  6. Step 6: Final answer
    x = 13,643.30

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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.