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Finding the Fourth Proportional to 24,022.51, 33,152.70 and 13,411.92

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Solution

The fourth proportional to 24,022.51, 33,152.70 and 13,411.92 is: 18,509.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,022.51 : 33,152.70 = 13,411.92 : x
  2. Step 2: Convert to fraction form
    24,022.51/33,152.70 = 13,411.92/x
  3. Step 3: Cross multiply
    24,022.51x = 33,152.70 × 13,411.92
  4. Step 4: Simplify right side
    24,022.51x = 444,641,360.18
  5. Step 5: Solve for x
    x = 444,641,360.18/24,022.51
  6. Step 6: Final answer
    x = 18,509.36

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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.