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Finding the Fourth Proportional to 10,021.20, 15,031.93 and 9,412.35

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Solution

The fourth proportional to 10,021.20, 15,031.93 and 9,412.35 is: 14,118.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,021.20 : 15,031.93 = 9,412.35 : x
  2. Step 2: Convert to fraction form
    10,021.20/15,031.93 = 9,412.35/x
  3. Step 3: Cross multiply
    10,021.20x = 15,031.93 × 9,412.35
  4. Step 4: Simplify right side
    10,021.20x = 141,485,786.34
  5. Step 5: Solve for x
    x = 141,485,786.34/10,021.20
  6. Step 6: Final answer
    x = 14,118.65

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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.