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Finding the Fourth Proportional to 14,042.13, 19,378.03 and 7,754.50

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Solution

The fourth proportional to 14,042.13, 19,378.03 and 7,754.50 is: 10,701.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,042.13 : 19,378.03 = 7,754.50 : x
  2. Step 2: Convert to fraction form
    14,042.13/19,378.03 = 7,754.50/x
  3. Step 3: Cross multiply
    14,042.13x = 19,378.03 × 7,754.50
  4. Step 4: Simplify right side
    14,042.13x = 150,266,933.64
  5. Step 5: Solve for x
    x = 150,266,933.64/14,042.13
  6. Step 6: Final answer
    x = 10,701.15

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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.