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Finding the Fourth Proportional to 22,487.31, 31,031.19 and 12,415.50

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Solution

The fourth proportional to 22,487.31, 31,031.19 and 12,415.50 is: 17,132.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,487.31 : 31,031.19 = 12,415.50 : x
  2. Step 2: Convert to fraction form
    22,487.31/31,031.19 = 12,415.50/x
  3. Step 3: Cross multiply
    22,487.31x = 31,031.19 × 12,415.50
  4. Step 4: Simplify right side
    22,487.31x = 385,267,739.45
  5. Step 5: Solve for x
    x = 385,267,739.45/22,487.31
  6. Step 6: Final answer
    x = 17,132.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.