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Finding the Fourth Proportional to 10,008.96, 15,021.14 and 9,495.06

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Solution

The fourth proportional to 10,008.96, 15,021.14 and 9,495.06 is: 14,249.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,008.96 : 15,021.14 = 9,495.06 : x
  2. Step 2: Convert to fraction form
    10,008.96/15,021.14 = 9,495.06/x
  3. Step 3: Cross multiply
    10,008.96x = 15,021.14 × 9,495.06
  4. Step 4: Simplify right side
    10,008.96x = 142,626,578.09
  5. Step 5: Solve for x
    x = 142,626,578.09/10,008.96
  6. Step 6: Final answer
    x = 14,249.89

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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.