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Finding the Fourth Proportional to 24,411.96, 33,688.14 and 13,801.22

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Solution

The fourth proportional to 24,411.96, 33,688.14 and 13,801.22 is: 19,045.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,411.96 : 33,688.14 = 13,801.22 : x
  2. Step 2: Convert to fraction form
    24,411.96/33,688.14 = 13,801.22/x
  3. Step 3: Cross multiply
    24,411.96x = 33,688.14 × 13,801.22
  4. Step 4: Simplify right side
    24,411.96x = 464,937,431.53
  5. Step 5: Solve for x
    x = 464,937,431.53/24,411.96
  6. Step 6: Final answer
    x = 19,045.48

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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.