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Finding the Fourth Proportional to 23,146.84, 34,730.74 and 9,103

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Solution

The fourth proportional to 23,146.84, 34,730.74 and 9,103 is: 13,658.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,146.84 : 34,730.74 = 9,103 : x
  2. Step 2: Convert to fraction form
    23,146.84/34,730.74 = 9,103/x
  3. Step 3: Cross multiply
    23,146.84x = 34,730.74 × 9,103
  4. Step 4: Simplify right side
    23,146.84x = 316,153,926.22
  5. Step 5: Solve for x
    x = 316,153,926.22/23,146.84
  6. Step 6: Final answer
    x = 13,658.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.