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Finding the Fourth Proportional to 22,347.29, 30,839.50 and 12,276.16

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Solution

The fourth proportional to 22,347.29, 30,839.50 and 12,276.16 is: 16,941.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,347.29 : 30,839.50 = 12,276.16 : x
  2. Step 2: Convert to fraction form
    22,347.29/30,839.50 = 12,276.16/x
  3. Step 3: Cross multiply
    22,347.29x = 30,839.50 × 12,276.16
  4. Step 4: Simplify right side
    22,347.29x = 378,590,574.57
  5. Step 5: Solve for x
    x = 378,590,574.57/22,347.29
  6. Step 6: Final answer
    x = 16,941.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.