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Finding the Fourth Proportional to 16,506.63, 22,778.91 and 9,432.90

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Solution

The fourth proportional to 16,506.63, 22,778.91 and 9,432.90 is: 13,017.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,506.63 : 22,778.91 = 9,432.90 : x
  2. Step 2: Convert to fraction form
    16,506.63/22,778.91 = 9,432.90/x
  3. Step 3: Cross multiply
    16,506.63x = 22,778.91 × 9,432.90
  4. Step 4: Simplify right side
    16,506.63x = 214,871,180.14
  5. Step 5: Solve for x
    x = 214,871,180.14/16,506.63
  6. Step 6: Final answer
    x = 13,017.27

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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.