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Finding the Fourth Proportional to 19,914.44, 29,878.14 and 9,527

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Solution

The fourth proportional to 19,914.44, 29,878.14 and 9,527 is: 14,293.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,914.44 : 29,878.14 = 9,527 : x
  2. Step 2: Convert to fraction form
    19,914.44/29,878.14 = 9,527/x
  3. Step 3: Cross multiply
    19,914.44x = 29,878.14 × 9,527
  4. Step 4: Simplify right side
    19,914.44x = 284,649,039.78
  5. Step 5: Solve for x
    x = 284,649,039.78/19,914.44
  6. Step 6: Final answer
    x = 14,293.60

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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.