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Finding the Fourth Proportional to 17,937.90, 26,894.70 and 9,165.60

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Solution

The fourth proportional to 17,937.90, 26,894.70 and 9,165.60 is: 13,742.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,937.90 : 26,894.70 = 9,165.60 : x
  2. Step 2: Convert to fraction form
    17,937.90/26,894.70 = 9,165.60/x
  3. Step 3: Cross multiply
    17,937.90x = 26,894.70 × 9,165.60
  4. Step 4: Simplify right side
    17,937.90x = 246,506,062.32
  5. Step 5: Solve for x
    x = 246,506,062.32/17,937.90
  6. Step 6: Final answer
    x = 13,742.19

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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.