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Finding the Fourth Proportional to 35,877, 53,824.14 and 11,253

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Solution

The fourth proportional to 35,877, 53,824.14 and 11,253 is: 16,882.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,877 : 53,824.14 = 11,253 : x
  2. Step 2: Convert to fraction form
    35,877/53,824.14 = 11,253/x
  3. Step 3: Cross multiply
    35,877x = 53,824.14 × 11,253
  4. Step 4: Simplify right side
    35,877x = 605,683,047.42
  5. Step 5: Solve for x
    x = 605,683,047.42/35,877
  6. Step 6: Final answer
    x = 16,882.21

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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.