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Finding the Fourth Proportional to 15,689.36, 21,658.44 and 10,031.84

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Solution

The fourth proportional to 15,689.36, 21,658.44 and 10,031.84 is: 13,848.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,689.36 : 21,658.44 = 10,031.84 : x
  2. Step 2: Convert to fraction form
    15,689.36/21,658.44 = 10,031.84/x
  3. Step 3: Cross multiply
    15,689.36x = 21,658.44 × 10,031.84
  4. Step 4: Simplify right side
    15,689.36x = 217,274,004.73
  5. Step 5: Solve for x
    x = 217,274,004.73/15,689.36
  6. Step 6: Final answer
    x = 13,848.49

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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.