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Finding the Fourth Proportional to 12,019.82, 16,587.52 and 6,642.50

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Solution

The fourth proportional to 12,019.82, 16,587.52 and 6,642.50 is: 9,166.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,019.82 : 16,587.52 = 6,642.50 : x
  2. Step 2: Convert to fraction form
    12,019.82/16,587.52 = 6,642.50/x
  3. Step 3: Cross multiply
    12,019.82x = 16,587.52 × 6,642.50
  4. Step 4: Simplify right side
    12,019.82x = 110,182,601.60
  5. Step 5: Solve for x
    x = 110,182,601.60/12,019.82
  6. Step 6: Final answer
    x = 9,166.74

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