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Finding the Fourth Proportional to 12,184.46, 16,814.58 and 6,595.46

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Solution

The fourth proportional to 12,184.46, 16,814.58 and 6,595.46 is: 9,101.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,184.46 : 16,814.58 = 6,595.46 : x
  2. Step 2: Convert to fraction form
    12,184.46/16,814.58 = 6,595.46/x
  3. Step 3: Cross multiply
    12,184.46x = 16,814.58 × 6,595.46
  4. Step 4: Simplify right side
    12,184.46x = 110,899,889.81
  5. Step 5: Solve for x
    x = 110,899,889.81/12,184.46
  6. Step 6: Final answer
    x = 9,101.75

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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.