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Finding the Fourth Proportional to 12,174.55, 16,800.86 and 6,585.55

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Solution

The fourth proportional to 12,174.55, 16,800.86 and 6,585.55 is: 9,088.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,174.55 : 16,800.86 = 6,585.55 : x
  2. Step 2: Convert to fraction form
    12,174.55/16,800.86 = 6,585.55/x
  3. Step 3: Cross multiply
    12,174.55x = 16,800.86 × 6,585.55
  4. Step 4: Simplify right side
    12,174.55x = 110,642,878.03
  5. Step 5: Solve for x
    x = 110,642,878.03/12,174.55
  6. Step 6: Final answer
    x = 9,088.05

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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.