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Finding the Fourth Proportional to 14,286.16, 19,724.07 and 9,808.48

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Solution

The fourth proportional to 14,286.16, 19,724.07 and 9,808.48 is: 13,542.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,286.16 : 19,724.07 = 9,808.48 : x
  2. Step 2: Convert to fraction form
    14,286.16/19,724.07 = 9,808.48/x
  3. Step 3: Cross multiply
    14,286.16x = 19,724.07 × 9,808.48
  4. Step 4: Simplify right side
    14,286.16x = 193,463,146.11
  5. Step 5: Solve for x
    x = 193,463,146.11/14,286.16
  6. Step 6: Final answer
    x = 13,542.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.