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Finding the Fourth Proportional to 13,901.63, 19,184.72 and 7,614.41

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Solution

The fourth proportional to 13,901.63, 19,184.72 and 7,614.41 is: 10,508.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,901.63 : 19,184.72 = 7,614.41 : x
  2. Step 2: Convert to fraction form
    13,901.63/19,184.72 = 7,614.41/x
  3. Step 3: Cross multiply
    13,901.63x = 19,184.72 × 7,614.41
  4. Step 4: Simplify right side
    13,901.63x = 146,080,189.82
  5. Step 5: Solve for x
    x = 146,080,189.82/13,901.63
  6. Step 6: Final answer
    x = 10,508.14

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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.