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Finding the Fourth Proportional to 15,706.41, 23,559.63 and 7,380.32

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Solution

The fourth proportional to 15,706.41, 23,559.63 and 7,380.32 is: 11,070.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,706.41 : 23,559.63 = 7,380.32 : x
  2. Step 2: Convert to fraction form
    15,706.41/23,559.63 = 7,380.32/x
  3. Step 3: Cross multiply
    15,706.41x = 23,559.63 × 7,380.32
  4. Step 4: Simplify right side
    15,706.41x = 173,877,608.48
  5. Step 5: Solve for x
    x = 173,877,608.48/15,706.41
  6. Step 6: Final answer
    x = 11,070.49

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Why These Related Problems?

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