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Finding the Fourth Proportional to 14,019.84, 19,346.82 and 7,732.14

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Solution

The fourth proportional to 14,019.84, 19,346.82 and 7,732.14 is: 10,670.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,019.84 : 19,346.82 = 7,732.14 : x
  2. Step 2: Convert to fraction form
    14,019.84/19,346.82 = 7,732.14/x
  3. Step 3: Cross multiply
    14,019.84x = 19,346.82 × 7,732.14
  4. Step 4: Simplify right side
    14,019.84x = 149,592,320.79
  5. Step 5: Solve for x
    x = 149,592,320.79/14,019.84
  6. Step 6: Final answer
    x = 10,670.04

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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.