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Finding the Fourth Proportional to 23,378, 32,262.40 and 13,442

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Solution

The fourth proportional to 23,378, 32,262.40 and 13,442 is: 18,550.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,378 : 32,262.40 = 13,442 : x
  2. Step 2: Convert to fraction form
    23,378/32,262.40 = 13,442/x
  3. Step 3: Cross multiply
    23,378x = 32,262.40 × 13,442
  4. Step 4: Simplify right side
    23,378x = 433,671,180.80
  5. Step 5: Solve for x
    x = 433,671,180.80/23,378
  6. Step 6: Final answer
    x = 18,550.40

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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.