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Finding the Fourth Proportional to 24,140.59, 33,314.07 and 13,530.22

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Solution

The fourth proportional to 24,140.59, 33,314.07 and 13,530.22 is: 18,671.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,140.59 : 33,314.07 = 13,530.22 : x
  2. Step 2: Convert to fraction form
    24,140.59/33,314.07 = 13,530.22/x
  3. Step 3: Cross multiply
    24,140.59x = 33,314.07 × 13,530.22
  4. Step 4: Simplify right side
    24,140.59x = 450,746,676.12
  5. Step 5: Solve for x
    x = 450,746,676.12/24,140.59
  6. Step 6: Final answer
    x = 18,671.74

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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.