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Finding the Fourth Proportional to 21,666.24, 32,492.88 and 7,812

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Solution

The fourth proportional to 21,666.24, 32,492.88 and 7,812 is: 11,715.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,666.24 : 32,492.88 = 7,812 : x
  2. Step 2: Convert to fraction form
    21,666.24/32,492.88 = 7,812/x
  3. Step 3: Cross multiply
    21,666.24x = 32,492.88 × 7,812
  4. Step 4: Simplify right side
    21,666.24x = 253,834,378.56
  5. Step 5: Solve for x
    x = 253,834,378.56/21,666.24
  6. Step 6: Final answer
    x = 11,715.66

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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.