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Finding the Fourth Proportional to 14,683.52, 20,263.20 and 8,396

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Solution

The fourth proportional to 14,683.52, 20,263.20 and 8,396 is: 11,586.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,683.52 : 20,263.20 = 8,396 : x
  2. Step 2: Convert to fraction form
    14,683.52/20,263.20 = 8,396/x
  3. Step 3: Cross multiply
    14,683.52x = 20,263.20 × 8,396
  4. Step 4: Simplify right side
    14,683.52x = 170,129,827.20
  5. Step 5: Solve for x
    x = 170,129,827.20/14,683.52
  6. Step 6: Final answer
    x = 11,586.45

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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.