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Finding the Fourth Proportional to 22,638.84, 33,956.64 and 7,056

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Solution

The fourth proportional to 22,638.84, 33,956.64 and 7,056 is: 10,583.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,638.84 : 33,956.64 = 7,056 : x
  2. Step 2: Convert to fraction form
    22,638.84/33,956.64 = 7,056/x
  3. Step 3: Cross multiply
    22,638.84x = 33,956.64 × 7,056
  4. Step 4: Simplify right side
    22,638.84x = 239,598,051.84
  5. Step 5: Solve for x
    x = 239,598,051.84/22,638.84
  6. Step 6: Final answer
    x = 10,583.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.