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Finding the Fourth Proportional to 27,314.58, 40,976.19 and 9,784.02

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Solution

The fourth proportional to 27,314.58, 40,976.19 and 9,784.02 is: 14,677.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,314.58 : 40,976.19 = 9,784.02 : x
  2. Step 2: Convert to fraction form
    27,314.58/40,976.19 = 9,784.02/x
  3. Step 3: Cross multiply
    27,314.58x = 40,976.19 × 9,784.02
  4. Step 4: Simplify right side
    27,314.58x = 400,911,862.48
  5. Step 5: Solve for x
    x = 400,911,862.48/27,314.58
  6. Step 6: Final answer
    x = 14,677.58

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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.