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Finding the Fourth Proportional to 14,154.30, 21,207.15 and 9,221.40

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Solution

The fourth proportional to 14,154.30, 21,207.15 and 9,221.40 is: 13,816.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,154.30 : 21,207.15 = 9,221.40 : x
  2. Step 2: Convert to fraction form
    14,154.30/21,207.15 = 9,221.40/x
  3. Step 3: Cross multiply
    14,154.30x = 21,207.15 × 9,221.40
  4. Step 4: Simplify right side
    14,154.30x = 195,559,613.01
  5. Step 5: Solve for x
    x = 195,559,613.01/14,154.30
  6. Step 6: Final answer
    x = 13,816.27

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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.