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Finding the Fourth Proportional to 24,615.50, 33,970.18 and 14,005.82

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Solution

The fourth proportional to 24,615.50, 33,970.18 and 14,005.82 is: 19,328.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,615.50 : 33,970.18 = 14,005.82 : x
  2. Step 2: Convert to fraction form
    24,615.50/33,970.18 = 14,005.82/x
  3. Step 3: Cross multiply
    24,615.50x = 33,970.18 × 14,005.82
  4. Step 4: Simplify right side
    24,615.50x = 475,780,226.45
  5. Step 5: Solve for x
    x = 475,780,226.45/24,615.50
  6. Step 6: Final answer
    x = 19,328.48

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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.