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Finding the Fourth Proportional to 14,716.32, 20,298.24 and 9,992.40

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Solution

The fourth proportional to 14,716.32, 20,298.24 and 9,992.40 is: 13,782.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,716.32 : 20,298.24 = 9,992.40 : x
  2. Step 2: Convert to fraction form
    14,716.32/20,298.24 = 9,992.40/x
  3. Step 3: Cross multiply
    14,716.32x = 20,298.24 × 9,992.40
  4. Step 4: Simplify right side
    14,716.32x = 202,828,133.38
  5. Step 5: Solve for x
    x = 202,828,133.38/14,716.32
  6. Step 6: Final answer
    x = 13,782.53

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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.