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Finding the Fourth Proportional to 12,854.99, 19,274.16 and 8,459.12

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Solution

The fourth proportional to 12,854.99, 19,274.16 and 8,459.12 is: 12,683.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,854.99 : 19,274.16 = 8,459.12 : x
  2. Step 2: Convert to fraction form
    12,854.99/19,274.16 = 8,459.12/x
  3. Step 3: Cross multiply
    12,854.99x = 19,274.16 × 8,459.12
  4. Step 4: Simplify right side
    12,854.99x = 163,042,432.34
  5. Step 5: Solve for x
    x = 163,042,432.34/12,854.99
  6. Step 6: Final answer
    x = 12,683.20

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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.