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Finding the Fourth Proportional to 23,063.04, 31,827.12 and 12,991.92

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Solution

The fourth proportional to 23,063.04, 31,827.12 and 12,991.92 is: 17,928.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,063.04 : 31,827.12 = 12,991.92 : x
  2. Step 2: Convert to fraction form
    23,063.04/31,827.12 = 12,991.92/x
  3. Step 3: Cross multiply
    23,063.04x = 31,827.12 × 12,991.92
  4. Step 4: Simplify right side
    23,063.04x = 413,495,396.87
  5. Step 5: Solve for x
    x = 413,495,396.87/23,063.04
  6. Step 6: Final answer
    x = 17,928.92

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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.