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Finding the Fourth Proportional to 15,792.24, 23,702.88 and 8,006.64

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Solution

The fourth proportional to 15,792.24, 23,702.88 and 8,006.64 is: 12,017.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,792.24 : 23,702.88 = 8,006.64 : x
  2. Step 2: Convert to fraction form
    15,792.24/23,702.88 = 8,006.64/x
  3. Step 3: Cross multiply
    15,792.24x = 23,702.88 × 8,006.64
  4. Step 4: Simplify right side
    15,792.24x = 189,780,427.12
  5. Step 5: Solve for x
    x = 189,780,427.12/15,792.24
  6. Step 6: Final answer
    x = 12,017.32

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1.5x scale

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.