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Finding the Fourth Proportional to 21,130.09, 31,695.87 and 10,031.06

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Solution

The fourth proportional to 21,130.09, 31,695.87 and 10,031.06 is: 15,046.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,130.09 : 31,695.87 = 10,031.06 : x
  2. Step 2: Convert to fraction form
    21,130.09/31,695.87 = 10,031.06/x
  3. Step 3: Cross multiply
    21,130.09x = 31,695.87 × 10,031.06
  4. Step 4: Simplify right side
    21,130.09x = 317,943,173.72
  5. Step 5: Solve for x
    x = 317,943,173.72/21,130.09
  6. Step 6: Final answer
    x = 15,046.94

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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.