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Finding the Fourth Proportional to 12,180.50, 16,807.66 and 6,875.00

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Solution

The fourth proportional to 12,180.50, 16,807.66 and 6,875.00 is: 9,486.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,180.50 : 16,807.66 = 6,875.00 : x
  2. Step 2: Convert to fraction form
    12,180.50/16,807.66 = 6,875.00/x
  3. Step 3: Cross multiply
    12,180.50x = 16,807.66 × 6,875.00
  4. Step 4: Simplify right side
    12,180.50x = 115,552,561.27
  5. Step 5: Solve for x
    x = 115,552,561.27/12,180.50
  6. Step 6: Final answer
    x = 9,486.69

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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.