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Finding the Fourth Proportional to 24,494.08, 33,801.76 and 13,316

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Solution

The fourth proportional to 24,494.08, 33,801.76 and 13,316 is: 18,376.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,494.08 : 33,801.76 = 13,316 : x
  2. Step 2: Convert to fraction form
    24,494.08/33,801.76 = 13,316/x
  3. Step 3: Cross multiply
    24,494.08x = 33,801.76 × 13,316
  4. Step 4: Simplify right side
    24,494.08x = 450,104,236.16
  5. Step 5: Solve for x
    x = 450,104,236.16/24,494.08
  6. Step 6: Final answer
    x = 18,376.04

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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.