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Finding the Fourth Proportional to 13,024, 19,536 and 7,552

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Solution

The fourth proportional to 13,024, 19,536 and 7,552 is: 11,328

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,024 : 19,536 = 7,552 : x
  2. Step 2: Convert to fraction form
    13,024/19,536 = 7,552/x
  3. Step 3: Cross multiply
    13,024x = 19,536 × 7,552
  4. Step 4: Simplify right side
    13,024x = 147,535,872
  5. Step 5: Solve for x
    x = 147,535,872/13,024
  6. Step 6: Final answer
    x = 11,328

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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.