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Finding the Fourth Proportional to 24,014.16, 33,140.04 and 13,404.24

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Solution

The fourth proportional to 24,014.16, 33,140.04 and 13,404.24 is: 18,498.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,014.16 : 33,140.04 = 13,404.24 : x
  2. Step 2: Convert to fraction form
    24,014.16/33,140.04 = 13,404.24/x
  3. Step 3: Cross multiply
    24,014.16x = 33,140.04 × 13,404.24
  4. Step 4: Simplify right side
    24,014.16x = 444,217,049.77
  5. Step 5: Solve for x
    x = 444,217,049.77/24,014.16
  6. Step 6: Final answer
    x = 18,498.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.