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Finding the Fourth Proportional to 24,547.68, 33,872.11 and 13,790.50

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Solution

The fourth proportional to 24,547.68, 33,872.11 and 13,790.50 is: 19,028.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,547.68 : 33,872.11 = 13,790.50 : x
  2. Step 2: Convert to fraction form
    24,547.68/33,872.11 = 13,790.50/x
  3. Step 3: Cross multiply
    24,547.68x = 33,872.11 × 13,790.50
  4. Step 4: Simplify right side
    24,547.68x = 467,113,213.80
  5. Step 5: Solve for x
    x = 467,113,213.80/24,547.68
  6. Step 6: Final answer
    x = 19,028.81

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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.