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Finding the Fourth Proportional to 15,707.70, 23,557.88 and 4,611.42

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Solution

The fourth proportional to 15,707.70, 23,557.88 and 4,611.42 is: 6,916.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,707.70 : 23,557.88 = 4,611.42 : x
  2. Step 2: Convert to fraction form
    15,707.70/23,557.88 = 4,611.42/x
  3. Step 3: Cross multiply
    15,707.70x = 23,557.88 × 4,611.42
  4. Step 4: Simplify right side
    15,707.70x = 108,635,278.99
  5. Step 5: Solve for x
    x = 108,635,278.99/15,707.70
  6. Step 6: Final answer
    x = 6,916.05

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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.