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Finding the Fourth Proportional to 24,417.30, 33,698.96 and 13,806.70

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Solution

The fourth proportional to 24,417.30, 33,698.96 and 13,806.70 is: 19,054.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,417.30 : 33,698.96 = 13,806.70 : x
  2. Step 2: Convert to fraction form
    24,417.30/33,698.96 = 13,806.70/x
  3. Step 3: Cross multiply
    24,417.30x = 33,698.96 × 13,806.70
  4. Step 4: Simplify right side
    24,417.30x = 465,271,431.03
  5. Step 5: Solve for x
    x = 465,271,431.03/24,417.30
  6. Step 6: Final answer
    x = 19,054.99

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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.