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Finding the Fourth Proportional to 14,299.47, 21,440.54 and 6,400.53

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Solution

The fourth proportional to 14,299.47, 21,440.54 and 6,400.53 is: 9,596.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,299.47 : 21,440.54 = 6,400.53 : x
  2. Step 2: Convert to fraction form
    14,299.47/21,440.54 = 6,400.53/x
  3. Step 3: Cross multiply
    14,299.47x = 21,440.54 × 6,400.53
  4. Step 4: Simplify right side
    14,299.47x = 137,230,787.48
  5. Step 5: Solve for x
    x = 137,230,787.48/14,299.47
  6. Step 6: Final answer
    x = 9,596.91

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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.