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Finding the Fourth Proportional to 12,852.16, 19,276.80 and 4,086.40

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Solution

The fourth proportional to 12,852.16, 19,276.80 and 4,086.40 is: 6,129.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,852.16 : 19,276.80 = 4,086.40 : x
  2. Step 2: Convert to fraction form
    12,852.16/19,276.80 = 4,086.40/x
  3. Step 3: Cross multiply
    12,852.16x = 19,276.80 × 4,086.40
  4. Step 4: Simplify right side
    12,852.16x = 78,772,715.52
  5. Step 5: Solve for x
    x = 78,772,715.52/12,852.16
  6. Step 6: Final answer
    x = 6,129.14

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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.