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Finding the Fourth Proportional to 14,497.02, 21,753.89 and 7,833.53

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Solution

The fourth proportional to 14,497.02, 21,753.89 and 7,833.53 is: 11,754.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,497.02 : 21,753.89 = 7,833.53 : x
  2. Step 2: Convert to fraction form
    14,497.02/21,753.89 = 7,833.53/x
  3. Step 3: Cross multiply
    14,497.02x = 21,753.89 × 7,833.53
  4. Step 4: Simplify right side
    14,497.02x = 170,409,823.90
  5. Step 5: Solve for x
    x = 170,409,823.90/14,497.02
  6. Step 6: Final answer
    x = 11,754.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.