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Finding the Fourth Proportional to 12,694.32, 19,045.80 and 6,534

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Solution

The fourth proportional to 12,694.32, 19,045.80 and 6,534 is: 9,803.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,694.32 : 19,045.80 = 6,534 : x
  2. Step 2: Convert to fraction form
    12,694.32/19,045.80 = 6,534/x
  3. Step 3: Cross multiply
    12,694.32x = 19,045.80 × 6,534
  4. Step 4: Simplify right side
    12,694.32x = 124,445,257.20
  5. Step 5: Solve for x
    x = 124,445,257.20/12,694.32
  6. Step 6: Final answer
    x = 9,803.22

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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.