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Finding the Fourth Proportional to 26,734.95, 40,106.06 and 9,200.07

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Solution

The fourth proportional to 26,734.95, 40,106.06 and 9,200.07 is: 13,801.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,734.95 : 40,106.06 = 9,200.07 : x
  2. Step 2: Convert to fraction form
    26,734.95/40,106.06 = 9,200.07/x
  3. Step 3: Cross multiply
    26,734.95x = 40,106.06 × 9,200.07
  4. Step 4: Simplify right side
    26,734.95x = 368,978,513.42
  5. Step 5: Solve for x
    x = 368,978,513.42/26,734.95
  6. Step 6: Final answer
    x = 13,801.35

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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.