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Finding the Fourth Proportional to 24,308.06, 36,467.01 and 9,314.10

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Solution

The fourth proportional to 24,308.06, 36,467.01 and 9,314.10 is: 13,973.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,308.06 : 36,467.01 = 9,314.10 : x
  2. Step 2: Convert to fraction form
    24,308.06/36,467.01 = 9,314.10/x
  3. Step 3: Cross multiply
    24,308.06x = 36,467.01 × 9,314.10
  4. Step 4: Simplify right side
    24,308.06x = 339,657,377.84
  5. Step 5: Solve for x
    x = 339,657,377.84/24,308.06
  6. Step 6: Final answer
    x = 13,973.04

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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.