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Finding the Fourth Proportional to 14,282.64, 19,710.12 and 7,909.44

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Solution

The fourth proportional to 14,282.64, 19,710.12 and 7,909.44 is: 10,915.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,282.64 : 19,710.12 = 7,909.44 : x
  2. Step 2: Convert to fraction form
    14,282.64/19,710.12 = 7,909.44/x
  3. Step 3: Cross multiply
    14,282.64x = 19,710.12 × 7,909.44
  4. Step 4: Simplify right side
    14,282.64x = 155,896,011.53
  5. Step 5: Solve for x
    x = 155,896,011.53/14,282.64
  6. Step 6: Final answer
    x = 10,915.07

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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.