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Finding the Fourth Proportional to 24,415.22, 33,695.51 and 14,855.78

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Solution

The fourth proportional to 24,415.22, 33,695.51 and 14,855.78 is: 20,502.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,415.22 : 33,695.51 = 14,855.78 : x
  2. Step 2: Convert to fraction form
    24,415.22/33,695.51 = 14,855.78/x
  3. Step 3: Cross multiply
    24,415.22x = 33,695.51 × 14,855.78
  4. Step 4: Simplify right side
    24,415.22x = 500,573,093.51
  5. Step 5: Solve for x
    x = 500,573,093.51/24,415.22
  6. Step 6: Final answer
    x = 20,502.50

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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.