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Finding the Fourth Proportional to 14,000.68, 19,320.96 and 7,713.08

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Solution

The fourth proportional to 14,000.68, 19,320.96 and 7,713.08 is: 10,644.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,000.68 : 19,320.96 = 7,713.08 : x
  2. Step 2: Convert to fraction form
    14,000.68/19,320.96 = 7,713.08/x
  3. Step 3: Cross multiply
    14,000.68x = 19,320.96 × 7,713.08
  4. Step 4: Simplify right side
    14,000.68x = 149,024,110.16
  5. Step 5: Solve for x
    x = 149,024,110.16/14,000.68
  6. Step 6: Final answer
    x = 10,644.06

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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.