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Finding the Fourth Proportional to 14,694, 22,026.42 and 6,888.84

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Solution

The fourth proportional to 14,694, 22,026.42 and 6,888.84 is: 10,326.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,694 : 22,026.42 = 6,888.84 : x
  2. Step 2: Convert to fraction form
    14,694/22,026.42 = 6,888.84/x
  3. Step 3: Cross multiply
    14,694x = 22,026.42 × 6,888.84
  4. Step 4: Simplify right side
    14,694x = 151,736,483.15
  5. Step 5: Solve for x
    x = 151,736,483.15/14,694
  6. Step 6: Final answer
    x = 10,326.42

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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.