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Finding the Fourth Proportional to 24,158.16, 33,335.04 and 13,402.86

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Solution

The fourth proportional to 24,158.16, 33,335.04 and 13,402.86 is: 18,494.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,158.16 : 33,335.04 = 13,402.86 : x
  2. Step 2: Convert to fraction form
    24,158.16/33,335.04 = 13,402.86/x
  3. Step 3: Cross multiply
    24,158.16x = 33,335.04 × 13,402.86
  4. Step 4: Simplify right side
    24,158.16x = 446,784,874.21
  5. Step 5: Solve for x
    x = 446,784,874.21/24,158.16
  6. Step 6: Final answer
    x = 18,494.16

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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.