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Finding the Fourth Proportional to 13,226.88, 19,838.40 and 8,031.36

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Solution

The fourth proportional to 13,226.88, 19,838.40 and 8,031.36 is: 12,045.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,226.88 : 19,838.40 = 8,031.36 : x
  2. Step 2: Convert to fraction form
    13,226.88/19,838.40 = 8,031.36/x
  3. Step 3: Cross multiply
    13,226.88x = 19,838.40 × 8,031.36
  4. Step 4: Simplify right side
    13,226.88x = 159,329,332.22
  5. Step 5: Solve for x
    x = 159,329,332.22/13,226.88
  6. Step 6: Final answer
    x = 12,045.87

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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.