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Finding the Fourth Proportional to 13,498.64, 20,260.92 and 6,578

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Solution

The fourth proportional to 13,498.64, 20,260.92 and 6,578 is: 9,873.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,498.64 : 20,260.92 = 6,578 : x
  2. Step 2: Convert to fraction form
    13,498.64/20,260.92 = 6,578/x
  3. Step 3: Cross multiply
    13,498.64x = 20,260.92 × 6,578
  4. Step 4: Simplify right side
    13,498.64x = 133,276,331.76
  5. Step 5: Solve for x
    x = 133,276,331.76/13,498.64
  6. Step 6: Final answer
    x = 9,873.32

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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.