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Finding the Fourth Proportional to 23,835, 32,891.40 and 13,223.88

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Solution

The fourth proportional to 23,835, 32,891.40 and 13,223.88 is: 18,248.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,835 : 32,891.40 = 13,223.88 : x
  2. Step 2: Convert to fraction form
    23,835/32,891.40 = 13,223.88/x
  3. Step 3: Cross multiply
    23,835x = 32,891.40 × 13,223.88
  4. Step 4: Simplify right side
    23,835x = 434,951,926.63
  5. Step 5: Solve for x
    x = 434,951,926.63/23,835
  6. Step 6: Final answer
    x = 18,248.46

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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.