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Finding the Fourth Proportional to 26,374.56, 39,549.08 and 9,742.43

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Solution

The fourth proportional to 26,374.56, 39,549.08 and 9,742.43 is: 14,608.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,374.56 : 39,549.08 = 9,742.43 : x
  2. Step 2: Convert to fraction form
    26,374.56/39,549.08 = 9,742.43/x
  3. Step 3: Cross multiply
    26,374.56x = 39,549.08 × 9,742.43
  4. Step 4: Simplify right side
    26,374.56x = 385,303,897.01
  5. Step 5: Solve for x
    x = 385,303,897.01/26,374.56
  6. Step 6: Final answer
    x = 14,608.92

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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.