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Finding the Fourth Proportional to 15,697.20, 23,536 and 7,373.64

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Solution

The fourth proportional to 15,697.20, 23,536 and 7,373.64 is: 11,055.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,697.20 : 23,536 = 7,373.64 : x
  2. Step 2: Convert to fraction form
    15,697.20/23,536 = 7,373.64/x
  3. Step 3: Cross multiply
    15,697.20x = 23,536 × 7,373.64
  4. Step 4: Simplify right side
    15,697.20x = 173,545,991.04
  5. Step 5: Solve for x
    x = 173,545,991.04/15,697.20
  6. Step 6: Final answer
    x = 11,055.86

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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.