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Finding the Fourth Proportional to 20,646.64, 30,965.28 and 5,852.16

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Solution

The fourth proportional to 20,646.64, 30,965.28 and 5,852.16 is: 8,776.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,646.64 : 30,965.28 = 5,852.16 : x
  2. Step 2: Convert to fraction form
    20,646.64/30,965.28 = 5,852.16/x
  3. Step 3: Cross multiply
    20,646.64x = 30,965.28 × 5,852.16
  4. Step 4: Simplify right side
    20,646.64x = 181,213,773.00
  5. Step 5: Solve for x
    x = 181,213,773.00/20,646.64
  6. Step 6: Final answer
    x = 8,776.91

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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.