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Finding the Fourth Proportional to 14,282.34, 19,709.70 and 7,909.12

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Solution

The fourth proportional to 14,282.34, 19,709.70 and 7,909.12 is: 10,914.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,282.34 : 19,709.70 = 7,909.12 : x
  2. Step 2: Convert to fraction form
    14,282.34/19,709.70 = 7,909.12/x
  3. Step 3: Cross multiply
    14,282.34x = 19,709.70 × 7,909.12
  4. Step 4: Simplify right side
    14,282.34x = 155,886,377.44
  5. Step 5: Solve for x
    x = 155,886,377.44/14,282.34
  6. Step 6: Final answer
    x = 10,914.63

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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.