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Finding the Fourth Proportional to 18,582.30, 25,643.59 and 10,084.42

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Solution

The fourth proportional to 18,582.30, 25,643.59 and 10,084.42 is: 13,916.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,582.30 : 25,643.59 = 10,084.42 : x
  2. Step 2: Convert to fraction form
    18,582.30/25,643.59 = 10,084.42/x
  3. Step 3: Cross multiply
    18,582.30x = 25,643.59 × 10,084.42
  4. Step 4: Simplify right side
    18,582.30x = 258,600,853.38
  5. Step 5: Solve for x
    x = 258,600,853.38/18,582.30
  6. Step 6: Final answer
    x = 13,916.51

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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.