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Finding the Fourth Proportional to 14,611.84, 21,926.40 and 5,384.32

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Solution

The fourth proportional to 14,611.84, 21,926.40 and 5,384.32 is: 8,079.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,611.84 : 21,926.40 = 5,384.32 : x
  2. Step 2: Convert to fraction form
    14,611.84/21,926.40 = 5,384.32/x
  3. Step 3: Cross multiply
    14,611.84x = 21,926.40 × 5,384.32
  4. Step 4: Simplify right side
    14,611.84x = 118,058,754.05
  5. Step 5: Solve for x
    x = 118,058,754.05/14,611.84
  6. Step 6: Final answer
    x = 8,079.66

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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.