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Finding the Fourth Proportional to 12,154.16, 16,773.62 and 6,776.98

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Solution

The fourth proportional to 12,154.16, 16,773.62 and 6,776.98 is: 9,352.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,154.16 : 16,773.62 = 6,776.98 : x
  2. Step 2: Convert to fraction form
    12,154.16/16,773.62 = 6,776.98/x
  3. Step 3: Cross multiply
    12,154.16x = 16,773.62 × 6,776.98
  4. Step 4: Simplify right side
    12,154.16x = 113,674,411.45
  5. Step 5: Solve for x
    x = 113,674,411.45/12,154.16
  6. Step 6: Final answer
    x = 9,352.71

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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.