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Finding the Fourth Proportional to 24,015.25, 33,141.95 and 13,406.93

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Solution

The fourth proportional to 24,015.25, 33,141.95 and 13,406.93 is: 18,502.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,015.25 : 33,141.95 = 13,406.93 : x
  2. Step 2: Convert to fraction form
    24,015.25/33,141.95 = 13,406.93/x
  3. Step 3: Cross multiply
    24,015.25x = 33,141.95 × 13,406.93
  4. Step 4: Simplify right side
    24,015.25x = 444,331,803.71
  5. Step 5: Solve for x
    x = 444,331,803.71/24,015.25
  6. Step 6: Final answer
    x = 18,502.07

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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.