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Finding the Fourth Proportional to 34,191.19, 51,309.70 and 12,004.64

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Solution

The fourth proportional to 34,191.19, 51,309.70 and 12,004.64 is: 18,015.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,191.19 : 51,309.70 = 12,004.64 : x
  2. Step 2: Convert to fraction form
    34,191.19/51,309.70 = 12,004.64/x
  3. Step 3: Cross multiply
    34,191.19x = 51,309.70 × 12,004.64
  4. Step 4: Simplify right side
    34,191.19x = 615,954,382.86
  5. Step 5: Solve for x
    x = 615,954,382.86/34,191.19
  6. Step 6: Final answer
    x = 18,015.00

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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.