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Finding the Fourth Proportional to 16,557, 22,848.66 and 10,968

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Solution

The fourth proportional to 16,557, 22,848.66 and 10,968 is: 15,135.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,557 : 22,848.66 = 10,968 : x
  2. Step 2: Convert to fraction form
    16,557/22,848.66 = 10,968/x
  3. Step 3: Cross multiply
    16,557x = 22,848.66 × 10,968
  4. Step 4: Simplify right side
    16,557x = 250,604,102.88
  5. Step 5: Solve for x
    x = 250,604,102.88/16,557
  6. Step 6: Final answer
    x = 15,135.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.