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Finding the Fourth Proportional to 12,225.87, 16,870.46 and 6,919.76

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Solution

The fourth proportional to 12,225.87, 16,870.46 and 6,919.76 is: 9,548.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,225.87 : 16,870.46 = 6,919.76 : x
  2. Step 2: Convert to fraction form
    12,225.87/16,870.46 = 6,919.76/x
  3. Step 3: Cross multiply
    12,225.87x = 16,870.46 × 6,919.76
  4. Step 4: Simplify right side
    12,225.87x = 116,739,534.29
  5. Step 5: Solve for x
    x = 116,739,534.29/12,225.87
  6. Step 6: Final answer
    x = 9,548.57

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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.