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Finding the Fourth Proportional to 16,833.75, 25,254.27 and 6,445.50

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Solution

The fourth proportional to 16,833.75, 25,254.27 and 6,445.50 is: 9,669.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,833.75 : 25,254.27 = 6,445.50 : x
  2. Step 2: Convert to fraction form
    16,833.75/25,254.27 = 6,445.50/x
  3. Step 3: Cross multiply
    16,833.75x = 25,254.27 × 6,445.50
  4. Step 4: Simplify right side
    16,833.75x = 162,776,397.29
  5. Step 5: Solve for x
    x = 162,776,397.29/16,833.75
  6. Step 6: Final answer
    x = 9,669.65

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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.