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Finding the Fourth Proportional to 26,101.38, 36,020 and 14,164.72

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Solution

The fourth proportional to 26,101.38, 36,020 and 14,164.72 is: 19,547.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,101.38 : 36,020 = 14,164.72 : x
  2. Step 2: Convert to fraction form
    26,101.38/36,020 = 14,164.72/x
  3. Step 3: Cross multiply
    26,101.38x = 36,020 × 14,164.72
  4. Step 4: Simplify right side
    26,101.38x = 510,213,214.40
  5. Step 5: Solve for x
    x = 510,213,214.40/26,101.38
  6. Step 6: Final answer
    x = 19,547.37

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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.