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Finding the Fourth Proportional to 15,614.11, 21,547.64 and 8,540.38

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Solution

The fourth proportional to 15,614.11, 21,547.64 and 8,540.38 is: 11,785.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,614.11 : 21,547.64 = 8,540.38 : x
  2. Step 2: Convert to fraction form
    15,614.11/21,547.64 = 8,540.38/x
  3. Step 3: Cross multiply
    15,614.11x = 21,547.64 × 8,540.38
  4. Step 4: Simplify right side
    15,614.11x = 184,024,883.26
  5. Step 5: Solve for x
    x = 184,024,883.26/15,614.11
  6. Step 6: Final answer
    x = 11,785.81

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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.