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Finding the Fourth Proportional to 12,328.91, 17,009.12 and 7,851.86

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Solution

The fourth proportional to 12,328.91, 17,009.12 and 7,851.86 is: 10,832.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,328.91 : 17,009.12 = 7,851.86 : x
  2. Step 2: Convert to fraction form
    12,328.91/17,009.12 = 7,851.86/x
  3. Step 3: Cross multiply
    12,328.91x = 17,009.12 × 7,851.86
  4. Step 4: Simplify right side
    12,328.91x = 133,553,189.70
  5. Step 5: Solve for x
    x = 133,553,189.70/12,328.91
  6. Step 6: Final answer
    x = 10,832.52

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