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Finding the Fourth Proportional to 15,729.34, 21,683.01 and 10,414.93

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Solution

The fourth proportional to 15,729.34, 21,683.01 and 10,414.93 is: 14,357.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,729.34 : 21,683.01 = 10,414.93 : x
  2. Step 2: Convert to fraction form
    15,729.34/21,683.01 = 10,414.93/x
  3. Step 3: Cross multiply
    15,729.34x = 21,683.01 × 10,414.93
  4. Step 4: Simplify right side
    15,729.34x = 225,827,031.34
  5. Step 5: Solve for x
    x = 225,827,031.34/15,729.34
  6. Step 6: Final answer
    x = 14,357.06

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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.