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Finding the Fourth Proportional to 15,683.28, 21,643.56 and 8,970

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Solution

The fourth proportional to 15,683.28, 21,643.56 and 8,970 is: 12,378.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,683.28 : 21,643.56 = 8,970 : x
  2. Step 2: Convert to fraction form
    15,683.28/21,643.56 = 8,970/x
  3. Step 3: Cross multiply
    15,683.28x = 21,643.56 × 8,970
  4. Step 4: Simplify right side
    15,683.28x = 194,142,733.20
  5. Step 5: Solve for x
    x = 194,142,733.20/15,683.28
  6. Step 6: Final answer
    x = 12,378.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.