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Finding the Fourth Proportional to 14,858.49, 22,287.74 and 9,016.77

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Solution

The fourth proportional to 14,858.49, 22,287.74 and 9,016.77 is: 13,525.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,858.49 : 22,287.74 = 9,016.77 : x
  2. Step 2: Convert to fraction form
    14,858.49/22,287.74 = 9,016.77/x
  3. Step 3: Cross multiply
    14,858.49x = 22,287.74 × 9,016.77
  4. Step 4: Simplify right side
    14,858.49x = 200,963,380.32
  5. Step 5: Solve for x
    x = 200,963,380.32/14,858.49
  6. Step 6: Final answer
    x = 13,525.16

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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.