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Finding the Fourth Proportional to 26,577, 39,869.28 and 9,042.12

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Solution

The fourth proportional to 26,577, 39,869.28 and 9,042.12 is: 13,564.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,577 : 39,869.28 = 9,042.12 : x
  2. Step 2: Convert to fraction form
    26,577/39,869.28 = 9,042.12/x
  3. Step 3: Cross multiply
    26,577x = 39,869.28 × 9,042.12
  4. Step 4: Simplify right side
    26,577x = 360,502,814.07
  5. Step 5: Solve for x
    x = 360,502,814.07/26,577
  6. Step 6: Final answer
    x = 13,564.47

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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.