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Finding the Fourth Proportional to 26,348.42, 39,538.22 and 9,720.14

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Solution

The fourth proportional to 26,348.42, 39,538.22 and 9,720.14 is: 14,585.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,348.42 : 39,538.22 = 9,720.14 : x
  2. Step 2: Convert to fraction form
    26,348.42/39,538.22 = 9,720.14/x
  3. Step 3: Cross multiply
    26,348.42x = 39,538.22 × 9,720.14
  4. Step 4: Simplify right side
    26,348.42x = 384,316,787.46
  5. Step 5: Solve for x
    x = 384,316,787.46/26,348.42
  6. Step 6: Final answer
    x = 14,585.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.