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Finding the Fourth Proportional to 12,166.76, 18,237.16 and 6,315.32

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Solution

The fourth proportional to 12,166.76, 18,237.16 and 6,315.32 is: 9,466.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,166.76 : 18,237.16 = 6,315.32 : x
  2. Step 2: Convert to fraction form
    12,166.76/18,237.16 = 6,315.32/x
  3. Step 3: Cross multiply
    12,166.76x = 18,237.16 × 6,315.32
  4. Step 4: Simplify right side
    12,166.76x = 115,173,501.29
  5. Step 5: Solve for x
    x = 115,173,501.29/12,166.76
  6. Step 6: Final answer
    x = 9,466.24

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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.