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Finding the Fourth Proportional to 12,156.68, 16,776 and 6,851.40

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Solution

The fourth proportional to 12,156.68, 16,776 and 6,851.40 is: 9,454.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,156.68 : 16,776 = 6,851.40 : x
  2. Step 2: Convert to fraction form
    12,156.68/16,776 = 6,851.40/x
  3. Step 3: Cross multiply
    12,156.68x = 16,776 × 6,851.40
  4. Step 4: Simplify right side
    12,156.68x = 114,939,086.40
  5. Step 5: Solve for x
    x = 114,939,086.40/12,156.68
  6. Step 6: Final answer
    x = 9,454.81

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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.