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Finding the Fourth Proportional to 21,702.63, 32,555.32 and 8,381.98

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Solution

The fourth proportional to 21,702.63, 32,555.32 and 8,381.98 is: 12,573.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,702.63 : 32,555.32 = 8,381.98 : x
  2. Step 2: Convert to fraction form
    21,702.63/32,555.32 = 8,381.98/x
  3. Step 3: Cross multiply
    21,702.63x = 32,555.32 × 8,381.98
  4. Step 4: Simplify right side
    21,702.63x = 272,878,060.87
  5. Step 5: Solve for x
    x = 272,878,060.87/21,702.63
  6. Step 6: Final answer
    x = 12,573.50

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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.