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Finding the Fourth Proportional to 18,547.22, 25,595.02 and 10,049.38

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Solution

The fourth proportional to 18,547.22, 25,595.02 and 10,049.38 is: 13,868.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,547.22 : 25,595.02 = 10,049.38 : x
  2. Step 2: Convert to fraction form
    18,547.22/25,595.02 = 10,049.38/x
  3. Step 3: Cross multiply
    18,547.22x = 25,595.02 × 10,049.38
  4. Step 4: Simplify right side
    18,547.22x = 257,214,082.09
  5. Step 5: Solve for x
    x = 257,214,082.09/18,547.22
  6. Step 6: Final answer
    x = 13,868.07

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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.