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Finding the Fourth Proportional to 10,015.01, 13,824 and 7,031.59

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Solution

The fourth proportional to 10,015.01, 13,824 and 7,031.59 is: 9,705.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,015.01 : 13,824 = 7,031.59 : x
  2. Step 2: Convert to fraction form
    10,015.01/13,824 = 7,031.59/x
  3. Step 3: Cross multiply
    10,015.01x = 13,824 × 7,031.59
  4. Step 4: Simplify right side
    10,015.01x = 97,204,631.04
  5. Step 5: Solve for x
    x = 97,204,631.04/10,015.01
  6. Step 6: Final answer
    x = 9,705.89

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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.