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Finding the Fourth Proportional to 12,177.78, 16,803.78 and 6,798.96

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Solution

The fourth proportional to 12,177.78, 16,803.78 and 6,798.96 is: 9,381.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,177.78 : 16,803.78 = 6,798.96 : x
  2. Step 2: Convert to fraction form
    12,177.78/16,803.78 = 6,798.96/x
  3. Step 3: Cross multiply
    12,177.78x = 16,803.78 × 6,798.96
  4. Step 4: Simplify right side
    12,177.78x = 114,248,228.07
  5. Step 5: Solve for x
    x = 114,248,228.07/12,177.78
  6. Step 6: Final answer
    x = 9,381.70

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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.