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Finding the Fourth Proportional to 24,314, 36,485.34 and 10,273.12

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Solution

The fourth proportional to 24,314, 36,485.34 and 10,273.12 is: 15,415.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,314 : 36,485.34 = 10,273.12 : x
  2. Step 2: Convert to fraction form
    24,314/36,485.34 = 10,273.12/x
  3. Step 3: Cross multiply
    24,314x = 36,485.34 × 10,273.12
  4. Step 4: Simplify right side
    24,314x = 374,818,276.06
  5. Step 5: Solve for x
    x = 374,818,276.06/24,314
  6. Step 6: Final answer
    x = 15,415.74

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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.