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Finding the Fourth Proportional to 14,282.82, 19,709.67 and 7,909.98

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Solution

The fourth proportional to 14,282.82, 19,709.67 and 7,909.98 is: 10,915.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,282.82 : 19,709.67 = 7,909.98 : x
  2. Step 2: Convert to fraction form
    14,282.82/19,709.67 = 7,909.98/x
  3. Step 3: Cross multiply
    14,282.82x = 19,709.67 × 7,909.98
  4. Step 4: Simplify right side
    14,282.82x = 155,903,095.51
  5. Step 5: Solve for x
    x = 155,903,095.51/14,282.82
  6. Step 6: Final answer
    x = 10,915.43

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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.