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Finding the Fourth Proportional to 25,776, 38,664 and 11,184

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Solution

The fourth proportional to 25,776, 38,664 and 11,184 is: 16,776

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,776 : 38,664 = 11,184 : x
  2. Step 2: Convert to fraction form
    25,776/38,664 = 11,184/x
  3. Step 3: Cross multiply
    25,776x = 38,664 × 11,184
  4. Step 4: Simplify right side
    25,776x = 432,418,176
  5. Step 5: Solve for x
    x = 432,418,176/25,776
  6. Step 6: Final answer
    x = 16,776

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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.