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Finding the Fourth Proportional to 24,213, 33,410.80 and 14,139.44

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Solution

The fourth proportional to 24,213, 33,410.80 and 14,139.44 is: 19,510.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,213 : 33,410.80 = 14,139.44 : x
  2. Step 2: Convert to fraction form
    24,213/33,410.80 = 14,139.44/x
  3. Step 3: Cross multiply
    24,213x = 33,410.80 × 14,139.44
  4. Step 4: Simplify right side
    24,213x = 472,410,001.95
  5. Step 5: Solve for x
    x = 472,410,001.95/24,213
  6. Step 6: Final answer
    x = 19,510.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.