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Finding the Fourth Proportional to 14,356.96, 21,531.84 and 10,184.80

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Solution

The fourth proportional to 14,356.96, 21,531.84 and 10,184.80 is: 15,274.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,356.96 : 21,531.84 = 10,184.80 : x
  2. Step 2: Convert to fraction form
    14,356.96/21,531.84 = 10,184.80/x
  3. Step 3: Cross multiply
    14,356.96x = 21,531.84 × 10,184.80
  4. Step 4: Simplify right side
    14,356.96x = 219,297,484.03
  5. Step 5: Solve for x
    x = 219,297,484.03/14,356.96
  6. Step 6: Final answer
    x = 15,274.65

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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.