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Finding the Fourth Proportional to 12,291.95, 16,968.69 and 8,319.51

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Solution

The fourth proportional to 12,291.95, 16,968.69 and 8,319.51 is: 11,484.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,291.95 : 16,968.69 = 8,319.51 : x
  2. Step 2: Convert to fraction form
    12,291.95/16,968.69 = 8,319.51/x
  3. Step 3: Cross multiply
    12,291.95x = 16,968.69 × 8,319.51
  4. Step 4: Simplify right side
    12,291.95x = 141,171,186.14
  5. Step 5: Solve for x
    x = 141,171,186.14/12,291.95
  6. Step 6: Final answer
    x = 11,484.85

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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.