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Finding the Fourth Proportional to 14,000.34, 19,320.84 and 7,713.12

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Solution

The fourth proportional to 14,000.34, 19,320.84 and 7,713.12 is: 10,644.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,000.34 : 19,320.84 = 7,713.12 : x
  2. Step 2: Convert to fraction form
    14,000.34/19,320.84 = 7,713.12/x
  3. Step 3: Cross multiply
    14,000.34x = 19,320.84 × 7,713.12
  4. Step 4: Simplify right side
    14,000.34x = 149,023,957.42
  5. Step 5: Solve for x
    x = 149,023,957.42/14,000.34
  6. Step 6: Final answer
    x = 10,644.31

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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.