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Finding the Fourth Proportional to 12,381.32, 17,089.44 and 7,669.64

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Solution

The fourth proportional to 12,381.32, 17,089.44 and 7,669.64 is: 10,586.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381.32 : 17,089.44 = 7,669.64 : x
  2. Step 2: Convert to fraction form
    12,381.32/17,089.44 = 7,669.64/x
  3. Step 3: Cross multiply
    12,381.32x = 17,089.44 × 7,669.64
  4. Step 4: Simplify right side
    12,381.32x = 131,069,852.60
  5. Step 5: Solve for x
    x = 131,069,852.60/12,381.32
  6. Step 6: Final answer
    x = 10,586.10

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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.