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Finding the Fourth Proportional to 34,309.60, 51,466.80 and 13,530.40

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Solution

The fourth proportional to 34,309.60, 51,466.80 and 13,530.40 is: 20,296.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,309.60 : 51,466.80 = 13,530.40 : x
  2. Step 2: Convert to fraction form
    34,309.60/51,466.80 = 13,530.40/x
  3. Step 3: Cross multiply
    34,309.60x = 51,466.80 × 13,530.40
  4. Step 4: Simplify right side
    34,309.60x = 696,366,390.72
  5. Step 5: Solve for x
    x = 696,366,390.72/34,309.60
  6. Step 6: Final answer
    x = 20,296.55

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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.