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Finding the Fourth Proportional to 22,663.20, 33,966.08 and 12,808

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Solution

The fourth proportional to 22,663.20, 33,966.08 and 12,808 is: 19,195.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,663.20 : 33,966.08 = 12,808 : x
  2. Step 2: Convert to fraction form
    22,663.20/33,966.08 = 12,808/x
  3. Step 3: Cross multiply
    22,663.20x = 33,966.08 × 12,808
  4. Step 4: Simplify right side
    22,663.20x = 435,037,552.64
  5. Step 5: Solve for x
    x = 435,037,552.64/22,663.20
  6. Step 6: Final answer
    x = 19,195.77

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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.