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Finding the Fourth Proportional to 14,274.70, 21,412.05 and 9,609.10

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Solution

The fourth proportional to 14,274.70, 21,412.05 and 9,609.10 is: 14,413.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,274.70 : 21,412.05 = 9,609.10 : x
  2. Step 2: Convert to fraction form
    14,274.70/21,412.05 = 9,609.10/x
  3. Step 3: Cross multiply
    14,274.70x = 21,412.05 × 9,609.10
  4. Step 4: Simplify right side
    14,274.70x = 205,750,529.66
  5. Step 5: Solve for x
    x = 205,750,529.66/14,274.70
  6. Step 6: Final answer
    x = 14,413.65

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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.