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Finding the Fourth Proportional to 24,688.40, 37,026 and 9,104

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Solution

The fourth proportional to 24,688.40, 37,026 and 9,104 is: 13,653.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,688.40 : 37,026 = 9,104 : x
  2. Step 2: Convert to fraction form
    24,688.40/37,026 = 9,104/x
  3. Step 3: Cross multiply
    24,688.40x = 37,026 × 9,104
  4. Step 4: Simplify right side
    24,688.40x = 337,084,704
  5. Step 5: Solve for x
    x = 337,084,704/24,688.40
  6. Step 6: Final answer
    x = 13,653.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.