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Finding the Fourth Proportional to 21,702.50, 32,557 and 7,854.74

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Solution

The fourth proportional to 21,702.50, 32,557 and 7,854.74 is: 11,783.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,702.50 : 32,557 = 7,854.74 : x
  2. Step 2: Convert to fraction form
    21,702.50/32,557 = 7,854.74/x
  3. Step 3: Cross multiply
    21,702.50x = 32,557 × 7,854.74
  4. Step 4: Simplify right side
    21,702.50x = 255,726,770.18
  5. Step 5: Solve for x
    x = 255,726,770.18/21,702.50
  6. Step 6: Final answer
    x = 11,783.29

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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.