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Finding the Fourth Proportional to 15,706.88, 23,561.47 and 5,846.16

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Solution

The fourth proportional to 15,706.88, 23,561.47 and 5,846.16 is: 8,769.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,706.88 : 23,561.47 = 5,846.16 : x
  2. Step 2: Convert to fraction form
    15,706.88/23,561.47 = 5,846.16/x
  3. Step 3: Cross multiply
    15,706.88x = 23,561.47 × 5,846.16
  4. Step 4: Simplify right side
    15,706.88x = 137,744,123.46
  5. Step 5: Solve for x
    x = 137,744,123.46/15,706.88
  6. Step 6: Final answer
    x = 8,769.67

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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.