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Finding the Fourth Proportional to 24,417.68, 33,697.32 and 13,808.48

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Solution

The fourth proportional to 24,417.68, 33,697.32 and 13,808.48 is: 19,056.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,417.68 : 33,697.32 = 13,808.48 : x
  2. Step 2: Convert to fraction form
    24,417.68/33,697.32 = 13,808.48/x
  3. Step 3: Cross multiply
    24,417.68x = 33,697.32 × 13,808.48
  4. Step 4: Simplify right side
    24,417.68x = 465,308,769.27
  5. Step 5: Solve for x
    x = 465,308,769.27/24,417.68
  6. Step 6: Final answer
    x = 19,056.22

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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.