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Finding the Fourth Proportional to 21,908.67, 32,864.16 and 7,116.50

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Solution

The fourth proportional to 21,908.67, 32,864.16 and 7,116.50 is: 10,675.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,908.67 : 32,864.16 = 7,116.50 : x
  2. Step 2: Convert to fraction form
    21,908.67/32,864.16 = 7,116.50/x
  3. Step 3: Cross multiply
    21,908.67x = 32,864.16 × 7,116.50
  4. Step 4: Simplify right side
    21,908.67x = 233,877,630.32
  5. Step 5: Solve for x
    x = 233,877,630.32/21,908.67
  6. Step 6: Final answer
    x = 10,675.12

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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.