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Finding the Fourth Proportional to 14,394.24, 19,864.44 and 8,802

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Solution

The fourth proportional to 14,394.24, 19,864.44 and 8,802 is: 12,147.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,394.24 : 19,864.44 = 8,802 : x
  2. Step 2: Convert to fraction form
    14,394.24/19,864.44 = 8,802/x
  3. Step 3: Cross multiply
    14,394.24x = 19,864.44 × 8,802
  4. Step 4: Simplify right side
    14,394.24x = 174,846,800.88
  5. Step 5: Solve for x
    x = 174,846,800.88/14,394.24
  6. Step 6: Final answer
    x = 12,147.00

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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.