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Finding the Fourth Proportional to 21,702.74, 32,510.97 and 10,576.98

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Solution

The fourth proportional to 21,702.74, 32,510.97 and 10,576.98 is: 15,844.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,702.74 : 32,510.97 = 10,576.98 : x
  2. Step 2: Convert to fraction form
    21,702.74/32,510.97 = 10,576.98/x
  3. Step 3: Cross multiply
    21,702.74x = 32,510.97 × 10,576.98
  4. Step 4: Simplify right side
    21,702.74x = 343,867,879.47
  5. Step 5: Solve for x
    x = 343,867,879.47/21,702.74
  6. Step 6: Final answer
    x = 15,844.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.