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Finding the Fourth Proportional to 13,056, 19,584 and 3,822.08

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Solution

The fourth proportional to 13,056, 19,584 and 3,822.08 is: 5,733.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,056 : 19,584 = 3,822.08 : x
  2. Step 2: Convert to fraction form
    13,056/19,584 = 3,822.08/x
  3. Step 3: Cross multiply
    13,056x = 19,584 × 3,822.08
  4. Step 4: Simplify right side
    13,056x = 74,851,614.72
  5. Step 5: Solve for x
    x = 74,851,614.72/13,056
  6. Step 6: Final answer
    x = 5,733.12

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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.