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Finding the Fourth Proportional to 10,342.42, 14,266.14 and 9,019.30

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Solution

The fourth proportional to 10,342.42, 14,266.14 and 9,019.30 is: 12,441.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342.42 : 14,266.14 = 9,019.30 : x
  2. Step 2: Convert to fraction form
    10,342.42/14,266.14 = 9,019.30/x
  3. Step 3: Cross multiply
    10,342.42x = 14,266.14 × 9,019.30
  4. Step 4: Simplify right side
    10,342.42x = 128,670,596.50
  5. Step 5: Solve for x
    x = 128,670,596.50/10,342.42
  6. Step 6: Final answer
    x = 12,441.05

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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.