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Finding the Fourth Proportional to 13,046.80, 19,572.64 and 4,284.24

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Solution

The fourth proportional to 13,046.80, 19,572.64 and 4,284.24 is: 6,427.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,046.80 : 19,572.64 = 4,284.24 : x
  2. Step 2: Convert to fraction form
    13,046.80/19,572.64 = 4,284.24/x
  3. Step 3: Cross multiply
    13,046.80x = 19,572.64 × 4,284.24
  4. Step 4: Simplify right side
    13,046.80x = 83,853,887.19
  5. Step 5: Solve for x
    x = 83,853,887.19/13,046.80
  6. Step 6: Final answer
    x = 6,427.16

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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.