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Finding the Fourth Proportional to 11,893.48, 17,799.15 and 9,547.90

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Solution

The fourth proportional to 11,893.48, 17,799.15 and 9,547.90 is: 14,288.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893.48 : 17,799.15 = 9,547.90 : x
  2. Step 2: Convert to fraction form
    11,893.48/17,799.15 = 9,547.90/x
  3. Step 3: Cross multiply
    11,893.48x = 17,799.15 × 9,547.90
  4. Step 4: Simplify right side
    11,893.48x = 169,944,504.29
  5. Step 5: Solve for x
    x = 169,944,504.29/11,893.48
  6. Step 6: Final answer
    x = 14,288.88

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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.