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Finding the Fourth Proportional to 21,911.17, 32,870.84 and 7,116.11

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Solution

The fourth proportional to 21,911.17, 32,870.84 and 7,116.11 is: 10,675.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,911.17 : 32,870.84 = 7,116.11 : x
  2. Step 2: Convert to fraction form
    21,911.17/32,870.84 = 7,116.11/x
  3. Step 3: Cross multiply
    21,911.17x = 32,870.84 × 7,116.11
  4. Step 4: Simplify right side
    21,911.17x = 233,912,559.83
  5. Step 5: Solve for x
    x = 233,912,559.83/21,911.17
  6. Step 6: Final answer
    x = 10,675.50

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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.