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Finding the Fourth Proportional to 15,440.56, 23,164.08 and 5,051.50

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Solution

The fourth proportional to 15,440.56, 23,164.08 and 5,051.50 is: 7,578.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,440.56 : 23,164.08 = 5,051.50 : x
  2. Step 2: Convert to fraction form
    15,440.56/23,164.08 = 5,051.50/x
  3. Step 3: Cross multiply
    15,440.56x = 23,164.08 × 5,051.50
  4. Step 4: Simplify right side
    15,440.56x = 117,013,350.12
  5. Step 5: Solve for x
    x = 117,013,350.12/15,440.56
  6. Step 6: Final answer
    x = 7,578.31

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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.