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Finding the Fourth Proportional to 15,828.30, 21,844.08 and 9,116.10

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Solution

The fourth proportional to 15,828.30, 21,844.08 and 9,116.10 is: 12,580.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,828.30 : 21,844.08 = 9,116.10 : x
  2. Step 2: Convert to fraction form
    15,828.30/21,844.08 = 9,116.10/x
  3. Step 3: Cross multiply
    15,828.30x = 21,844.08 × 9,116.10
  4. Step 4: Simplify right side
    15,828.30x = 199,132,817.69
  5. Step 5: Solve for x
    x = 199,132,817.69/15,828.30
  6. Step 6: Final answer
    x = 12,580.81

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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.