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Finding the Fourth Proportional to 21,973.50, 32,964.40 and 8,826.90

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Solution

The fourth proportional to 21,973.50, 32,964.40 and 8,826.90 is: 13,242.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,973.50 : 32,964.40 = 8,826.90 : x
  2. Step 2: Convert to fraction form
    21,973.50/32,964.40 = 8,826.90/x
  3. Step 3: Cross multiply
    21,973.50x = 32,964.40 × 8,826.90
  4. Step 4: Simplify right side
    21,973.50x = 290,973,462.36
  5. Step 5: Solve for x
    x = 290,973,462.36/21,973.50
  6. Step 6: Final answer
    x = 13,242.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.