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Finding the Fourth Proportional to 16,802.34, 23,187.54 and 9,732.85

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Solution

The fourth proportional to 16,802.34, 23,187.54 and 9,732.85 is: 13,431.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,802.34 : 23,187.54 = 9,732.85 : x
  2. Step 2: Convert to fraction form
    16,802.34/23,187.54 = 9,732.85/x
  3. Step 3: Cross multiply
    16,802.34x = 23,187.54 × 9,732.85
  4. Step 4: Simplify right side
    16,802.34x = 225,680,848.69
  5. Step 5: Solve for x
    x = 225,680,848.69/16,802.34
  6. Step 6: Final answer
    x = 13,431.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.