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Finding the Fourth Proportional to 24,942, 37,412.95 and 14,546.46

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Solution

The fourth proportional to 24,942, 37,412.95 and 14,546.46 is: 21,819.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,942 : 37,412.95 = 14,546.46 : x
  2. Step 2: Convert to fraction form
    24,942/37,412.95 = 14,546.46/x
  3. Step 3: Cross multiply
    24,942x = 37,412.95 × 14,546.46
  4. Step 4: Simplify right side
    24,942x = 544,225,980.66
  5. Step 5: Solve for x
    x = 544,225,980.66/24,942
  6. Step 6: Final answer
    x = 21,819.66

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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.