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Finding the Fourth Proportional to 15,347.44, 23,016.28 and 6,580

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Solution

The fourth proportional to 15,347.44, 23,016.28 and 6,580 is: 9,867.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,347.44 : 23,016.28 = 6,580 : x
  2. Step 2: Convert to fraction form
    15,347.44/23,016.28 = 6,580/x
  3. Step 3: Cross multiply
    15,347.44x = 23,016.28 × 6,580
  4. Step 4: Simplify right side
    15,347.44x = 151,447,122.40
  5. Step 5: Solve for x
    x = 151,447,122.40/15,347.44
  6. Step 6: Final answer
    x = 9,867.91

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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.