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Finding the Fourth Proportional to 24,038.86, 33,175.02 and 13,429.48

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Solution

The fourth proportional to 24,038.86, 33,175.02 and 13,429.48 is: 18,533.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,038.86 : 33,175.02 = 13,429.48 : x
  2. Step 2: Convert to fraction form
    24,038.86/33,175.02 = 13,429.48/x
  3. Step 3: Cross multiply
    24,038.86x = 33,175.02 × 13,429.48
  4. Step 4: Simplify right side
    24,038.86x = 445,523,267.59
  5. Step 5: Solve for x
    x = 445,523,267.59/24,038.86
  6. Step 6: Final answer
    x = 18,533.46

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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.