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Finding the Fourth Proportional to 22,567.52, 31,142.30 and 12,495.77

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Solution

The fourth proportional to 22,567.52, 31,142.30 and 12,495.77 is: 17,243.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,567.52 : 31,142.30 = 12,495.77 : x
  2. Step 2: Convert to fraction form
    22,567.52/31,142.30 = 12,495.77/x
  3. Step 3: Cross multiply
    22,567.52x = 31,142.30 × 12,495.77
  4. Step 4: Simplify right side
    22,567.52x = 389,146,799.88
  5. Step 5: Solve for x
    x = 389,146,799.88/22,567.52
  6. Step 6: Final answer
    x = 17,243.67

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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.