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Finding the Fourth Proportional to 20,593.32, 28,417.38 and 11,641.16

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Solution

The fourth proportional to 20,593.32, 28,417.38 and 11,641.16 is: 16,064.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,593.32 : 28,417.38 = 11,641.16 : x
  2. Step 2: Convert to fraction form
    20,593.32/28,417.38 = 11,641.16/x
  3. Step 3: Cross multiply
    20,593.32x = 28,417.38 × 11,641.16
  4. Step 4: Simplify right side
    20,593.32x = 330,811,267.36
  5. Step 5: Solve for x
    x = 330,811,267.36/20,593.32
  6. Step 6: Final answer
    x = 16,064.01

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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.