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Finding the Fourth Proportional to 12,069.90, 16,656.48 and 6,764.76

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Solution

The fourth proportional to 12,069.90, 16,656.48 and 6,764.76 is: 9,335.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,069.90 : 16,656.48 = 6,764.76 : x
  2. Step 2: Convert to fraction form
    12,069.90/16,656.48 = 6,764.76/x
  3. Step 3: Cross multiply
    12,069.90x = 16,656.48 × 6,764.76
  4. Step 4: Simplify right side
    12,069.90x = 112,677,089.64
  5. Step 5: Solve for x
    x = 112,677,089.64/12,069.90
  6. Step 6: Final answer
    x = 9,335.38

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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.