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Finding the Fourth Proportional to 15,309.18, 21,134.64 and 9,652.14

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Solution

The fourth proportional to 15,309.18, 21,134.64 and 9,652.14 is: 13,324.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,309.18 : 21,134.64 = 9,652.14 : x
  2. Step 2: Convert to fraction form
    15,309.18/21,134.64 = 9,652.14/x
  3. Step 3: Cross multiply
    15,309.18x = 21,134.64 × 9,652.14
  4. Step 4: Simplify right side
    15,309.18x = 203,994,504.13
  5. Step 5: Solve for x
    x = 203,994,504.13/15,309.18
  6. Step 6: Final answer
    x = 13,324.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.