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Finding the Fourth Proportional to 13,347.36, 20,016.24 and 4,580

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Solution

The fourth proportional to 13,347.36, 20,016.24 and 4,580 is: 6,868.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,347.36 : 20,016.24 = 4,580 : x
  2. Step 2: Convert to fraction form
    13,347.36/20,016.24 = 4,580/x
  3. Step 3: Cross multiply
    13,347.36x = 20,016.24 × 4,580
  4. Step 4: Simplify right side
    13,347.36x = 91,674,379.20
  5. Step 5: Solve for x
    x = 91,674,379.20/13,347.36
  6. Step 6: Final answer
    x = 6,868.35

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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.