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Finding the Fourth Proportional to 15,466.64, 23,203.05 and 6,111.06

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Solution

The fourth proportional to 15,466.64, 23,203.05 and 6,111.06 is: 9,167.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,466.64 : 23,203.05 = 6,111.06 : x
  2. Step 2: Convert to fraction form
    15,466.64/23,203.05 = 6,111.06/x
  3. Step 3: Cross multiply
    15,466.64x = 23,203.05 × 6,111.06
  4. Step 4: Simplify right side
    15,466.64x = 141,795,285.70
  5. Step 5: Solve for x
    x = 141,795,285.70/15,466.64
  6. Step 6: Final answer
    x = 9,167.81

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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.