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Finding the Fourth Proportional to 14,126.12, 19,494.18 and 7,839.08

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Solution

The fourth proportional to 14,126.12, 19,494.18 and 7,839.08 is: 10,818.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,126.12 : 19,494.18 = 7,839.08 : x
  2. Step 2: Convert to fraction form
    14,126.12/19,494.18 = 7,839.08/x
  3. Step 3: Cross multiply
    14,126.12x = 19,494.18 × 7,839.08
  4. Step 4: Simplify right side
    14,126.12x = 152,816,436.55
  5. Step 5: Solve for x
    x = 152,816,436.55/14,126.12
  6. Step 6: Final answer
    x = 10,818.00

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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.