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Finding the Fourth Proportional to 12,069.74, 16,656.14 and 6,764.54

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Solution

The fourth proportional to 12,069.74, 16,656.14 and 6,764.54 is: 9,335.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,069.74 : 16,656.14 = 6,764.54 : x
  2. Step 2: Convert to fraction form
    12,069.74/16,656.14 = 6,764.54/x
  3. Step 3: Cross multiply
    12,069.74x = 16,656.14 × 6,764.54
  4. Step 4: Simplify right side
    12,069.74x = 112,671,058.91
  5. Step 5: Solve for x
    x = 112,671,058.91/12,069.74
  6. Step 6: Final answer
    x = 9,335.00

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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.