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Finding the Fourth Proportional to 23,253.70, 32,089.70 and 12,643.24

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Solution

The fourth proportional to 23,253.70, 32,089.70 and 12,643.24 is: 17,447.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,253.70 : 32,089.70 = 12,643.24 : x
  2. Step 2: Convert to fraction form
    23,253.70/32,089.70 = 12,643.24/x
  3. Step 3: Cross multiply
    23,253.70x = 32,089.70 × 12,643.24
  4. Step 4: Simplify right side
    23,253.70x = 405,717,778.63
  5. Step 5: Solve for x
    x = 405,717,778.63/23,253.70
  6. Step 6: Final answer
    x = 17,447.45

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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.