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Finding the Fourth Proportional to 21,256.54, 31,871.13 and 10,162.98

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Solution

The fourth proportional to 21,256.54, 31,871.13 and 10,162.98 is: 15,237.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,256.54 : 31,871.13 = 10,162.98 : x
  2. Step 2: Convert to fraction form
    21,256.54/31,871.13 = 10,162.98/x
  3. Step 3: Cross multiply
    21,256.54x = 31,871.13 × 10,162.98
  4. Step 4: Simplify right side
    21,256.54x = 323,905,656.77
  5. Step 5: Solve for x
    x = 323,905,656.77/21,256.54
  6. Step 6: Final answer
    x = 15,237.93

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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.