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Finding the Fourth Proportional to 21,282.47, 31,913.02 and 12,400.67

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Solution

The fourth proportional to 21,282.47, 31,913.02 and 12,400.67 is: 18,594.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,282.47 : 31,913.02 = 12,400.67 : x
  2. Step 2: Convert to fraction form
    21,282.47/31,913.02 = 12,400.67/x
  3. Step 3: Cross multiply
    21,282.47x = 31,913.02 × 12,400.67
  4. Step 4: Simplify right side
    21,282.47x = 395,742,829.72
  5. Step 5: Solve for x
    x = 395,742,829.72/21,282.47
  6. Step 6: Final answer
    x = 18,594.78

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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.