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Finding the Fourth Proportional to 17,827.38, 24,599.25 and 9,869.40

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Solution

The fourth proportional to 17,827.38, 24,599.25 and 9,869.40 is: 13,618.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,827.38 : 24,599.25 = 9,869.40 : x
  2. Step 2: Convert to fraction form
    17,827.38/24,599.25 = 9,869.40/x
  3. Step 3: Cross multiply
    17,827.38x = 24,599.25 × 9,869.40
  4. Step 4: Simplify right side
    17,827.38x = 242,779,837.95
  5. Step 5: Solve for x
    x = 242,779,837.95/17,827.38
  6. Step 6: Final answer
    x = 13,618.37

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Why These Related Problems?

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