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Finding the Fourth Proportional to 24,094.10, 36,134.21 and 8,298.49

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Solution

The fourth proportional to 24,094.10, 36,134.21 and 8,298.49 is: 12,445.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,094.10 : 36,134.21 = 8,298.49 : x
  2. Step 2: Convert to fraction form
    24,094.10/36,134.21 = 8,298.49/x
  3. Step 3: Cross multiply
    24,094.10x = 36,134.21 × 8,298.49
  4. Step 4: Simplify right side
    24,094.10x = 299,859,248.51
  5. Step 5: Solve for x
    x = 299,859,248.51/24,094.10
  6. Step 6: Final answer
    x = 12,445.34

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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.