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Finding the Fourth Proportional to 27,085.80, 40,596.30 and 13,931.40

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Solution

The fourth proportional to 27,085.80, 40,596.30 and 13,931.40 is: 20,880.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,085.80 : 40,596.30 = 13,931.40 : x
  2. Step 2: Convert to fraction form
    27,085.80/40,596.30 = 13,931.40/x
  3. Step 3: Cross multiply
    27,085.80x = 40,596.30 × 13,931.40
  4. Step 4: Simplify right side
    27,085.80x = 565,563,293.82
  5. Step 5: Solve for x
    x = 565,563,293.82/27,085.80
  6. Step 6: Final answer
    x = 20,880.44

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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.