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Finding the Fourth Proportional to 24,708.42, 34,095.06 and 14,096

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Solution

The fourth proportional to 24,708.42, 34,095.06 and 14,096 is: 19,451.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,708.42 : 34,095.06 = 14,096 : x
  2. Step 2: Convert to fraction form
    24,708.42/34,095.06 = 14,096/x
  3. Step 3: Cross multiply
    24,708.42x = 34,095.06 × 14,096
  4. Step 4: Simplify right side
    24,708.42x = 480,603,965.76
  5. Step 5: Solve for x
    x = 480,603,965.76/24,708.42
  6. Step 6: Final answer
    x = 19,451.02

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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.