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Finding the Fourth Proportional to 23,622.38, 32,598.88 and 13,012

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Solution

The fourth proportional to 23,622.38, 32,598.88 and 13,012 is: 17,956.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,622.38 : 32,598.88 = 13,012 : x
  2. Step 2: Convert to fraction form
    23,622.38/32,598.88 = 13,012/x
  3. Step 3: Cross multiply
    23,622.38x = 32,598.88 × 13,012
  4. Step 4: Simplify right side
    23,622.38x = 424,176,626.56
  5. Step 5: Solve for x
    x = 424,176,626.56/23,622.38
  6. Step 6: Final answer
    x = 17,956.56

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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.