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Finding the Fourth Proportional to 23,312.58, 32,171.72 and 12,702.21

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Solution

The fourth proportional to 23,312.58, 32,171.72 and 12,702.21 is: 17,529.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,312.58 : 32,171.72 = 12,702.21 : x
  2. Step 2: Convert to fraction form
    23,312.58/32,171.72 = 12,702.21/x
  3. Step 3: Cross multiply
    23,312.58x = 32,171.72 × 12,702.21
  4. Step 4: Simplify right side
    23,312.58x = 408,651,943.50
  5. Step 5: Solve for x
    x = 408,651,943.50/23,312.58
  6. Step 6: Final answer
    x = 17,529.25

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1.5x scale

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.