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Finding the Fourth Proportional to 23,463, 32,381.64 and 13,392.88

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Solution

The fourth proportional to 23,463, 32,381.64 and 13,392.88 is: 18,483.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,463 : 32,381.64 = 13,392.88 : x
  2. Step 2: Convert to fraction form
    23,463/32,381.64 = 13,392.88/x
  3. Step 3: Cross multiply
    23,463x = 32,381.64 × 13,392.88
  4. Step 4: Simplify right side
    23,463x = 433,683,337.77
  5. Step 5: Solve for x
    x = 433,683,337.77/23,463
  6. Step 6: Final answer
    x = 18,483.71

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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.