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Finding the Fourth Proportional to 10,673.17, 16,026.15 and 9,514.06

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Solution

The fourth proportional to 10,673.17, 16,026.15 and 9,514.06 is: 14,285.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,673.17 : 16,026.15 = 9,514.06 : x
  2. Step 2: Convert to fraction form
    10,673.17/16,026.15 = 9,514.06/x
  3. Step 3: Cross multiply
    10,673.17x = 16,026.15 × 9,514.06
  4. Step 4: Simplify right side
    10,673.17x = 152,473,748.28
  5. Step 5: Solve for x
    x = 152,473,748.28/10,673.17
  6. Step 6: Final answer
    x = 14,285.71

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