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Finding the Fourth Proportional to 24,632.19, 33,993.54 and 14,024.07

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Solution

The fourth proportional to 24,632.19, 33,993.54 and 14,024.07 is: 19,353.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,632.19 : 33,993.54 = 14,024.07 : x
  2. Step 2: Convert to fraction form
    24,632.19/33,993.54 = 14,024.07/x
  3. Step 3: Cross multiply
    24,632.19x = 33,993.54 × 14,024.07
  4. Step 4: Simplify right side
    24,632.19x = 476,727,784.51
  5. Step 5: Solve for x
    x = 476,727,784.51/24,632.19
  6. Step 6: Final answer
    x = 19,353.85

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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.