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Finding the Fourth Proportional to 18,569.16, 27,862.92 and 8,709.19

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Solution

The fourth proportional to 18,569.16, 27,862.92 and 8,709.19 is: 13,068.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,569.16 : 27,862.92 = 8,709.19 : x
  2. Step 2: Convert to fraction form
    18,569.16/27,862.92 = 8,709.19/x
  3. Step 3: Cross multiply
    18,569.16x = 27,862.92 × 8,709.19
  4. Step 4: Simplify right side
    18,569.16x = 242,663,464.23
  5. Step 5: Solve for x
    x = 242,663,464.23/18,569.16
  6. Step 6: Final answer
    x = 13,068.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.