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Finding the Fourth Proportional to 24,214.32, 36,323.37 and 9,422.10

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Solution

The fourth proportional to 24,214.32, 36,323.37 and 9,422.10 is: 14,133.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,214.32 : 36,323.37 = 9,422.10 : x
  2. Step 2: Convert to fraction form
    24,214.32/36,323.37 = 9,422.10/x
  3. Step 3: Cross multiply
    24,214.32x = 36,323.37 × 9,422.10
  4. Step 4: Simplify right side
    24,214.32x = 342,242,424.48
  5. Step 5: Solve for x
    x = 342,242,424.48/24,214.32
  6. Step 6: Final answer
    x = 14,133.89

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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.