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Finding the Fourth Proportional to 16,113.50, 22,228.04 and 9,396.68

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Solution

The fourth proportional to 16,113.50, 22,228.04 and 9,396.68 is: 12,962.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,113.50 : 22,228.04 = 9,396.68 : x
  2. Step 2: Convert to fraction form
    16,113.50/22,228.04 = 9,396.68/x
  3. Step 3: Cross multiply
    16,113.50x = 22,228.04 × 9,396.68
  4. Step 4: Simplify right side
    16,113.50x = 208,869,638.40
  5. Step 5: Solve for x
    x = 208,869,638.40/16,113.50
  6. Step 6: Final answer
    x = 12,962.40

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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.