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Finding the Fourth Proportional to 13,057.60, 19,548.60 and 9,785.20

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Solution

The fourth proportional to 13,057.60, 19,548.60 and 9,785.20 is: 14,649.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,057.60 : 19,548.60 = 9,785.20 : x
  2. Step 2: Convert to fraction form
    13,057.60/19,548.60 = 9,785.20/x
  3. Step 3: Cross multiply
    13,057.60x = 19,548.60 × 9,785.20
  4. Step 4: Simplify right side
    13,057.60x = 191,286,960.72
  5. Step 5: Solve for x
    x = 191,286,960.72/13,057.60
  6. Step 6: Final answer
    x = 14,649.47

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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.