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Finding the Fourth Proportional to 14,269.40, 21,404.10 and 10,114.10

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Solution

The fourth proportional to 14,269.40, 21,404.10 and 10,114.10 is: 15,171.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,269.40 : 21,404.10 = 10,114.10 : x
  2. Step 2: Convert to fraction form
    14,269.40/21,404.10 = 10,114.10/x
  3. Step 3: Cross multiply
    14,269.40x = 21,404.10 × 10,114.10
  4. Step 4: Simplify right side
    14,269.40x = 216,483,207.81
  5. Step 5: Solve for x
    x = 216,483,207.81/14,269.40
  6. Step 6: Final answer
    x = 15,171.15

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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.