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Finding the Fourth Proportional to 15,773.94, 23,622.03 and 9,916.02

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Solution

The fourth proportional to 15,773.94, 23,622.03 and 9,916.02 is: 14,849.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,773.94 : 23,622.03 = 9,916.02 : x
  2. Step 2: Convert to fraction form
    15,773.94/23,622.03 = 9,916.02/x
  3. Step 3: Cross multiply
    15,773.94x = 23,622.03 × 9,916.02
  4. Step 4: Simplify right side
    15,773.94x = 234,236,521.92
  5. Step 5: Solve for x
    x = 234,236,521.92/15,773.94
  6. Step 6: Final answer
    x = 14,849.59

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Why These Related Problems?

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