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Finding the Fourth Proportional to 13,135.04, 19,709.28 and 6,207.68

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Solution

The fourth proportional to 13,135.04, 19,709.28 and 6,207.68 is: 9,314.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,135.04 : 19,709.28 = 6,207.68 : x
  2. Step 2: Convert to fraction form
    13,135.04/19,709.28 = 6,207.68/x
  3. Step 3: Cross multiply
    13,135.04x = 19,709.28 × 6,207.68
  4. Step 4: Simplify right side
    13,135.04x = 122,348,903.27
  5. Step 5: Solve for x
    x = 122,348,903.27/13,135.04
  6. Step 6: Final answer
    x = 9,314.70

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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.