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Finding the Fourth Proportional to 13,712.36, 20,564.24 and 4,946.13

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Solution

The fourth proportional to 13,712.36, 20,564.24 and 4,946.13 is: 7,417.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,712.36 : 20,564.24 = 4,946.13 : x
  2. Step 2: Convert to fraction form
    13,712.36/20,564.24 = 4,946.13/x
  3. Step 3: Cross multiply
    13,712.36x = 20,564.24 × 4,946.13
  4. Step 4: Simplify right side
    13,712.36x = 101,713,379.66
  5. Step 5: Solve for x
    x = 101,713,379.66/13,712.36
  6. Step 6: Final answer
    x = 7,417.64

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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.