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Finding the Fourth Proportional to 26,650.71, 39,967.74 and 9,116.46

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Solution

The fourth proportional to 26,650.71, 39,967.74 and 9,116.46 is: 13,671.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,650.71 : 39,967.74 = 9,116.46 : x
  2. Step 2: Convert to fraction form
    26,650.71/39,967.74 = 9,116.46/x
  3. Step 3: Cross multiply
    26,650.71x = 39,967.74 × 9,116.46
  4. Step 4: Simplify right side
    26,650.71x = 364,364,303.00
  5. Step 5: Solve for x
    x = 364,364,303.00/26,650.71
  6. Step 6: Final answer
    x = 13,671.84

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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.