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Finding the Fourth Proportional to 24,117.60, 36,176.40 and 11,599.50

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Solution

The fourth proportional to 24,117.60, 36,176.40 and 11,599.50 is: 17,399.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,117.60 : 36,176.40 = 11,599.50 : x
  2. Step 2: Convert to fraction form
    24,117.60/36,176.40 = 11,599.50/x
  3. Step 3: Cross multiply
    24,117.60x = 36,176.40 × 11,599.50
  4. Step 4: Simplify right side
    24,117.60x = 419,628,151.80
  5. Step 5: Solve for x
    x = 419,628,151.80/24,117.60
  6. Step 6: Final answer
    x = 17,399.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.