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Finding the Fourth Proportional to 14,158.62, 19,538.15 and 7,785.09

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Solution

The fourth proportional to 14,158.62, 19,538.15 and 7,785.09 is: 10,743.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,158.62 : 19,538.15 = 7,785.09 : x
  2. Step 2: Convert to fraction form
    14,158.62/19,538.15 = 7,785.09/x
  3. Step 3: Cross multiply
    14,158.62x = 19,538.15 × 7,785.09
  4. Step 4: Simplify right side
    14,158.62x = 152,106,217.26
  5. Step 5: Solve for x
    x = 152,106,217.26/14,158.62
  6. Step 6: Final answer
    x = 10,743.01

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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.