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Finding the Fourth Proportional to 21,700.84, 32,553.66 and 6,904.57

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Solution

The fourth proportional to 21,700.84, 32,553.66 and 6,904.57 is: 10,357.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,700.84 : 32,553.66 = 6,904.57 : x
  2. Step 2: Convert to fraction form
    21,700.84/32,553.66 = 6,904.57/x
  3. Step 3: Cross multiply
    21,700.84x = 32,553.66 × 6,904.57
  4. Step 4: Simplify right side
    21,700.84x = 224,769,024.23
  5. Step 5: Solve for x
    x = 224,769,024.23/21,700.84
  6. Step 6: Final answer
    x = 10,357.62

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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.