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Finding the Fourth Proportional to 12,976.68, 19,477.32 and 8,031.36

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Solution

The fourth proportional to 12,976.68, 19,477.32 and 8,031.36 is: 12,054.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,976.68 : 19,477.32 = 8,031.36 : x
  2. Step 2: Convert to fraction form
    12,976.68/19,477.32 = 8,031.36/x
  3. Step 3: Cross multiply
    12,976.68x = 19,477.32 × 8,031.36
  4. Step 4: Simplify right side
    12,976.68x = 156,429,368.76
  5. Step 5: Solve for x
    x = 156,429,368.76/12,976.68
  6. Step 6: Final answer
    x = 12,054.65

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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.