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Finding the Fourth Proportional to 14,611.98, 20,160.44 and 9,838.66

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Solution

The fourth proportional to 14,611.98, 20,160.44 and 9,838.66 is: 13,574.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,611.98 : 20,160.44 = 9,838.66 : x
  2. Step 2: Convert to fraction form
    14,611.98/20,160.44 = 9,838.66/x
  3. Step 3: Cross multiply
    14,611.98x = 20,160.44 × 9,838.66
  4. Step 4: Simplify right side
    14,611.98x = 198,351,714.61
  5. Step 5: Solve for x
    x = 198,351,714.61/14,611.98
  6. Step 6: Final answer
    x = 13,574.60

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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.