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Finding the Fourth Proportional to 21,525.32, 32,305.41 and 9,053.50

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Solution

The fourth proportional to 21,525.32, 32,305.41 and 9,053.50 is: 13,587.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,525.32 : 32,305.41 = 9,053.50 : x
  2. Step 2: Convert to fraction form
    21,525.32/32,305.41 = 9,053.50/x
  3. Step 3: Cross multiply
    21,525.32x = 32,305.41 × 9,053.50
  4. Step 4: Simplify right side
    21,525.32x = 292,476,892.92
  5. Step 5: Solve for x
    x = 292,476,892.92/21,525.32
  6. Step 6: Final answer
    x = 13,587.57

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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.