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Finding the Fourth Proportional to 12,883.66, 19,298.12 and 7,334.15

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Solution

The fourth proportional to 12,883.66, 19,298.12 and 7,334.15 is: 10,985.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,883.66 : 19,298.12 = 7,334.15 : x
  2. Step 2: Convert to fraction form
    12,883.66/19,298.12 = 7,334.15/x
  3. Step 3: Cross multiply
    12,883.66x = 19,298.12 × 7,334.15
  4. Step 4: Simplify right side
    12,883.66x = 141,535,173.64
  5. Step 5: Solve for x
    x = 141,535,173.64/12,883.66
  6. Step 6: Final answer
    x = 10,985.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.