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Finding the Fourth Proportional to 15,683.64, 23,520.72 and 6,320.64

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Solution

The fourth proportional to 15,683.64, 23,520.72 and 6,320.64 is: 9,479.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,683.64 : 23,520.72 = 6,320.64 : x
  2. Step 2: Convert to fraction form
    15,683.64/23,520.72 = 6,320.64/x
  3. Step 3: Cross multiply
    15,683.64x = 23,520.72 × 6,320.64
  4. Step 4: Simplify right side
    15,683.64x = 148,666,003.66
  5. Step 5: Solve for x
    x = 148,666,003.66/15,683.64
  6. Step 6: Final answer
    x = 9,479.05

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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.