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Finding the Fourth Proportional to 13,326.57, 19,905.94 and 9,785.25

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Solution

The fourth proportional to 13,326.57, 19,905.94 and 9,785.25 is: 14,616.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,326.57 : 19,905.94 = 9,785.25 : x
  2. Step 2: Convert to fraction form
    13,326.57/19,905.94 = 9,785.25/x
  3. Step 3: Cross multiply
    13,326.57x = 19,905.94 × 9,785.25
  4. Step 4: Simplify right side
    13,326.57x = 194,784,599.39
  5. Step 5: Solve for x
    x = 194,784,599.39/13,326.57
  6. Step 6: Final answer
    x = 14,616.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.