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Finding the Fourth Proportional to 24,966, 37,449 and 14,570.46

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Solution

The fourth proportional to 24,966, 37,449 and 14,570.46 is: 21,855.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,966 : 37,449 = 14,570.46 : x
  2. Step 2: Convert to fraction form
    24,966/37,449 = 14,570.46/x
  3. Step 3: Cross multiply
    24,966x = 37,449 × 14,570.46
  4. Step 4: Simplify right side
    24,966x = 545,649,156.54
  5. Step 5: Solve for x
    x = 545,649,156.54/24,966
  6. Step 6: Final answer
    x = 21,855.69

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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.