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Finding the Fourth Proportional to 14,034.42, 19,367.46 and 7,746.75

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Solution

The fourth proportional to 14,034.42, 19,367.46 and 7,746.75 is: 10,690.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,034.42 : 19,367.46 = 7,746.75 : x
  2. Step 2: Convert to fraction form
    14,034.42/19,367.46 = 7,746.75/x
  3. Step 3: Cross multiply
    14,034.42x = 19,367.46 × 7,746.75
  4. Step 4: Simplify right side
    14,034.42x = 150,034,870.76
  5. Step 5: Solve for x
    x = 150,034,870.76/14,034.42
  6. Step 6: Final answer
    x = 10,690.49

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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.