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Finding the Fourth Proportional to 24,513.59, 33,826.77 and 13,904.21

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Solution

The fourth proportional to 24,513.59, 33,826.77 and 13,904.21 is: 19,186.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,513.59 : 33,826.77 = 13,904.21 : x
  2. Step 2: Convert to fraction form
    24,513.59/33,826.77 = 13,904.21/x
  3. Step 3: Cross multiply
    24,513.59x = 33,826.77 × 13,904.21
  4. Step 4: Simplify right side
    24,513.59x = 470,334,598.27
  5. Step 5: Solve for x
    x = 470,334,598.27/24,513.59
  6. Step 6: Final answer
    x = 19,186.69

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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.