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Finding the Fourth Proportional to 24,513.63, 33,830.17 and 13,903.49

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Solution

The fourth proportional to 24,513.63, 33,830.17 and 13,903.49 is: 19,187.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,513.63 : 33,830.17 = 13,903.49 : x
  2. Step 2: Convert to fraction form
    24,513.63/33,830.17 = 13,903.49/x
  3. Step 3: Cross multiply
    24,513.63x = 33,830.17 × 13,903.49
  4. Step 4: Simplify right side
    24,513.63x = 470,357,430.29
  5. Step 5: Solve for x
    x = 470,357,430.29/24,513.63
  6. Step 6: Final answer
    x = 19,187.59

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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.