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Finding the Fourth Proportional to 15,317.64, 22,976.37 and 5,964.16

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Solution

The fourth proportional to 15,317.64, 22,976.37 and 5,964.16 is: 8,946.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,317.64 : 22,976.37 = 5,964.16 : x
  2. Step 2: Convert to fraction form
    15,317.64/22,976.37 = 5,964.16/x
  3. Step 3: Cross multiply
    15,317.64x = 22,976.37 × 5,964.16
  4. Step 4: Simplify right side
    15,317.64x = 137,034,746.90
  5. Step 5: Solve for x
    x = 137,034,746.90/15,317.64
  6. Step 6: Final answer
    x = 8,946.21

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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.