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Finding the Fourth Proportional to 16,641.36, 22,964.88 and 9,567.24

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Solution

The fourth proportional to 16,641.36, 22,964.88 and 9,567.24 is: 13,202.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,641.36 : 22,964.88 = 9,567.24 : x
  2. Step 2: Convert to fraction form
    16,641.36/22,964.88 = 9,567.24/x
  3. Step 3: Cross multiply
    16,641.36x = 22,964.88 × 9,567.24
  4. Step 4: Simplify right side
    16,641.36x = 219,710,518.53
  5. Step 5: Solve for x
    x = 219,710,518.53/16,641.36
  6. Step 6: Final answer
    x = 13,202.68

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1.5x scale

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.