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Finding the Fourth Proportional to 34,025.64, 51,032.34 and 12,674.40

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Solution

The fourth proportional to 34,025.64, 51,032.34 and 12,674.40 is: 19,009.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,025.64 : 51,032.34 = 12,674.40 : x
  2. Step 2: Convert to fraction form
    34,025.64/51,032.34 = 12,674.40/x
  3. Step 3: Cross multiply
    34,025.64x = 51,032.34 × 12,674.40
  4. Step 4: Simplify right side
    34,025.64x = 646,804,290.10
  5. Step 5: Solve for x
    x = 646,804,290.10/34,025.64
  6. Step 6: Final answer
    x = 19,009.32

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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.