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Finding the Fourth Proportional to 14,011.47, 19,337.19 and 7,723.84

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Solution

The fourth proportional to 14,011.47, 19,337.19 and 7,723.84 is: 10,659.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,011.47 : 19,337.19 = 7,723.84 : x
  2. Step 2: Convert to fraction form
    14,011.47/19,337.19 = 7,723.84/x
  3. Step 3: Cross multiply
    14,011.47x = 19,337.19 × 7,723.84
  4. Step 4: Simplify right side
    14,011.47x = 149,357,361.61
  5. Step 5: Solve for x
    x = 149,357,361.61/14,011.47
  6. Step 6: Final answer
    x = 10,659.65

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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.