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Finding the Fourth Proportional to 13,458.90, 20,200.35 and 7,905.30

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Solution

The fourth proportional to 13,458.90, 20,200.35 and 7,905.30 is: 11,865.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,458.90 : 20,200.35 = 7,905.30 : x
  2. Step 2: Convert to fraction form
    13,458.90/20,200.35 = 7,905.30/x
  3. Step 3: Cross multiply
    13,458.90x = 20,200.35 × 7,905.30
  4. Step 4: Simplify right side
    13,458.90x = 159,689,826.86
  5. Step 5: Solve for x
    x = 159,689,826.86/13,458.90
  6. Step 6: Final answer
    x = 11,865.00

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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.