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Finding the Fourth Proportional to 19,964.16, 29,927.04 and 9,565.44

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Solution

The fourth proportional to 19,964.16, 29,927.04 and 9,565.44 is: 14,338.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,964.16 : 29,927.04 = 9,565.44 : x
  2. Step 2: Convert to fraction form
    19,964.16/29,927.04 = 9,565.44/x
  3. Step 3: Cross multiply
    19,964.16x = 29,927.04 × 9,565.44
  4. Step 4: Simplify right side
    19,964.16x = 286,265,305.50
  5. Step 5: Solve for x
    x = 286,265,305.50/19,964.16
  6. Step 6: Final answer
    x = 14,338.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.