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Finding the Fourth Proportional to 24,477.72, 33,778.59 and 13,870.77

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Solution

The fourth proportional to 24,477.72, 33,778.59 and 13,870.77 is: 19,141.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,477.72 : 33,778.59 = 13,870.77 : x
  2. Step 2: Convert to fraction form
    24,477.72/33,778.59 = 13,870.77/x
  3. Step 3: Cross multiply
    24,477.72x = 33,778.59 × 13,870.77
  4. Step 4: Simplify right side
    24,477.72x = 468,535,052.81
  5. Step 5: Solve for x
    x = 468,535,052.81/24,477.72
  6. Step 6: Final answer
    x = 19,141.29

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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.