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Finding the Fourth Proportional to 23,312.95, 32,172.24 and 12,702.58

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Solution

The fourth proportional to 23,312.95, 32,172.24 and 12,702.58 is: 17,529.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,312.95 : 32,172.24 = 12,702.58 : x
  2. Step 2: Convert to fraction form
    23,312.95/32,172.24 = 12,702.58/x
  3. Step 3: Cross multiply
    23,312.95x = 32,172.24 × 12,702.58
  4. Step 4: Simplify right side
    23,312.95x = 408,670,452.38
  5. Step 5: Solve for x
    x = 408,670,452.38/23,312.95
  6. Step 6: Final answer
    x = 17,529.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.