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Finding the Fourth Proportional to 24,501.98, 33,811.77 and 13,892.00

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Solution

The fourth proportional to 24,501.98, 33,811.77 and 13,892.00 is: 19,170.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,501.98 : 33,811.77 = 13,892.00 : x
  2. Step 2: Convert to fraction form
    24,501.98/33,811.77 = 13,892.00/x
  3. Step 3: Cross multiply
    24,501.98x = 33,811.77 × 13,892.00
  4. Step 4: Simplify right side
    24,501.98x = 469,712,939.78
  5. Step 5: Solve for x
    x = 469,712,939.78/24,501.98
  6. Step 6: Final answer
    x = 19,170.41

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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.