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Finding the Fourth Proportional to 14,717.60, 22,087.20 and 9,785.60

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Solution

The fourth proportional to 14,717.60, 22,087.20 and 9,785.60 is: 14,685.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,717.60 : 22,087.20 = 9,785.60 : x
  2. Step 2: Convert to fraction form
    14,717.60/22,087.20 = 9,785.60/x
  3. Step 3: Cross multiply
    14,717.60x = 22,087.20 × 9,785.60
  4. Step 4: Simplify right side
    14,717.60x = 216,136,504.32
  5. Step 5: Solve for x
    x = 216,136,504.32/14,717.60
  6. Step 6: Final answer
    x = 14,685.58

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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.