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Finding the Fourth Proportional to 21,376.47, 32,059.21 and 10,120.71

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Solution

The fourth proportional to 21,376.47, 32,059.21 and 10,120.71 is: 15,178.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,376.47 : 32,059.21 = 10,120.71 : x
  2. Step 2: Convert to fraction form
    21,376.47/32,059.21 = 10,120.71/x
  3. Step 3: Cross multiply
    21,376.47x = 32,059.21 × 10,120.71
  4. Step 4: Simplify right side
    21,376.47x = 324,461,967.24
  5. Step 5: Solve for x
    x = 324,461,967.24/21,376.47
  6. Step 6: Final answer
    x = 15,178.46

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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.