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Finding the Fourth Proportional to 35,286.24, 52,889.04 and 14,484

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Solution

The fourth proportional to 35,286.24, 52,889.04 and 14,484 is: 21,709.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,286.24 : 52,889.04 = 14,484 : x
  2. Step 2: Convert to fraction form
    35,286.24/52,889.04 = 14,484/x
  3. Step 3: Cross multiply
    35,286.24x = 52,889.04 × 14,484
  4. Step 4: Simplify right side
    35,286.24x = 766,044,855.36
  5. Step 5: Solve for x
    x = 766,044,855.36/35,286.24
  6. Step 6: Final answer
    x = 21,709.45

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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.