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Finding the Fourth Proportional to 15,314.61, 22,961.10 and 5,946.84

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Solution

The fourth proportional to 15,314.61, 22,961.10 and 5,946.84 is: 8,916.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,314.61 : 22,961.10 = 5,946.84 : x
  2. Step 2: Convert to fraction form
    15,314.61/22,961.10 = 5,946.84/x
  3. Step 3: Cross multiply
    15,314.61x = 22,961.10 × 5,946.84
  4. Step 4: Simplify right side
    15,314.61x = 136,545,987.92
  5. Step 5: Solve for x
    x = 136,545,987.92/15,314.61
  6. Step 6: Final answer
    x = 8,916.06

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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.