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Finding the Fourth Proportional to 13,776.35, 20,663.82 and 7,548.53

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Solution

The fourth proportional to 13,776.35, 20,663.82 and 7,548.53 is: 11,322.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,776.35 : 20,663.82 = 7,548.53 : x
  2. Step 2: Convert to fraction form
    13,776.35/20,663.82 = 7,548.53/x
  3. Step 3: Cross multiply
    13,776.35x = 20,663.82 × 7,548.53
  4. Step 4: Simplify right side
    13,776.35x = 155,981,465.18
  5. Step 5: Solve for x
    x = 155,981,465.18/13,776.35
  6. Step 6: Final answer
    x = 11,322.41

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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.