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Finding the Fourth Proportional to 21,424.60, 32,152.70 and 10,180

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Solution

The fourth proportional to 21,424.60, 32,152.70 and 10,180 is: 15,277.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,424.60 : 32,152.70 = 10,180 : x
  2. Step 2: Convert to fraction form
    21,424.60/32,152.70 = 10,180/x
  3. Step 3: Cross multiply
    21,424.60x = 32,152.70 × 10,180
  4. Step 4: Simplify right side
    21,424.60x = 327,314,486
  5. Step 5: Solve for x
    x = 327,314,486/21,424.60
  6. Step 6: Final answer
    x = 15,277.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.