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Finding the Fourth Proportional to 12,666.32, 17,467.84 and 7,880.12

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Solution

The fourth proportional to 12,666.32, 17,467.84 and 7,880.12 is: 10,867.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,666.32 : 17,467.84 = 7,880.12 : x
  2. Step 2: Convert to fraction form
    12,666.32/17,467.84 = 7,880.12/x
  3. Step 3: Cross multiply
    12,666.32x = 17,467.84 × 7,880.12
  4. Step 4: Simplify right side
    12,666.32x = 137,648,675.34
  5. Step 5: Solve for x
    x = 137,648,675.34/12,666.32
  6. Step 6: Final answer
    x = 10,867.30

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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.