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Finding the Fourth Proportional to 24,643.16, 36,960.71 and 6,875.03

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Solution

The fourth proportional to 24,643.16, 36,960.71 and 6,875.03 is: 10,311.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,643.16 : 36,960.71 = 6,875.03 : x
  2. Step 2: Convert to fraction form
    24,643.16/36,960.71 = 6,875.03/x
  3. Step 3: Cross multiply
    24,643.16x = 36,960.71 × 6,875.03
  4. Step 4: Simplify right side
    24,643.16x = 254,105,770.89
  5. Step 5: Solve for x
    x = 254,105,770.89/24,643.16
  6. Step 6: Final answer
    x = 10,311.41

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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.