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Finding the Fourth Proportional to 12,852.99, 19,271.16 and 8,457.12

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Solution

The fourth proportional to 12,852.99, 19,271.16 and 8,457.12 is: 12,680.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,852.99 : 19,271.16 = 8,457.12 : x
  2. Step 2: Convert to fraction form
    12,852.99/19,271.16 = 8,457.12/x
  3. Step 3: Cross multiply
    12,852.99x = 19,271.16 × 8,457.12
  4. Step 4: Simplify right side
    12,852.99x = 162,978,512.66
  5. Step 5: Solve for x
    x = 162,978,512.66/12,852.99
  6. Step 6: Final answer
    x = 12,680.20

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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.