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Finding the Fourth Proportional to 26,702.42, 40,055.45 and 9,184.55

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Solution

The fourth proportional to 26,702.42, 40,055.45 and 9,184.55 is: 13,777.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,702.42 : 40,055.45 = 9,184.55 : x
  2. Step 2: Convert to fraction form
    26,702.42/40,055.45 = 9,184.55/x
  3. Step 3: Cross multiply
    26,702.42x = 40,055.45 × 9,184.55
  4. Step 4: Simplify right side
    26,702.42x = 367,891,037.10
  5. Step 5: Solve for x
    x = 367,891,037.10/26,702.42
  6. Step 6: Final answer
    x = 13,777.44

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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.