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Finding the Fourth Proportional to 10,199.40, 15,266.70 and 9,421.80

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Solution

The fourth proportional to 10,199.40, 15,266.70 and 9,421.80 is: 14,102.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,199.40 : 15,266.70 = 9,421.80 : x
  2. Step 2: Convert to fraction form
    10,199.40/15,266.70 = 9,421.80/x
  3. Step 3: Cross multiply
    10,199.40x = 15,266.70 × 9,421.80
  4. Step 4: Simplify right side
    10,199.40x = 143,839,794.06
  5. Step 5: Solve for x
    x = 143,839,794.06/10,199.40
  6. Step 6: Final answer
    x = 14,102.77

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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.