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Finding the Fourth Proportional to 14,135.25, 19,505.66 and 7,847.13

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Solution

The fourth proportional to 14,135.25, 19,505.66 and 7,847.13 is: 10,828.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,135.25 : 19,505.66 = 7,847.13 : x
  2. Step 2: Convert to fraction form
    14,135.25/19,505.66 = 7,847.13/x
  3. Step 3: Cross multiply
    14,135.25x = 19,505.66 × 7,847.13
  4. Step 4: Simplify right side
    14,135.25x = 153,063,449.76
  5. Step 5: Solve for x
    x = 153,063,449.76/14,135.25
  6. Step 6: Final answer
    x = 10,828.49

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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.