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Finding the Fourth Proportional to 21,758.83, 32,652.83 and 13,973.11

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Solution

The fourth proportional to 21,758.83, 32,652.83 and 13,973.11 is: 20,969.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,758.83 : 32,652.83 = 13,973.11 : x
  2. Step 2: Convert to fraction form
    21,758.83/32,652.83 = 13,973.11/x
  3. Step 3: Cross multiply
    21,758.83x = 32,652.83 × 13,973.11
  4. Step 4: Simplify right side
    21,758.83x = 456,261,585.40
  5. Step 5: Solve for x
    x = 456,261,585.40/21,758.83
  6. Step 6: Final answer
    x = 20,969.03

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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.