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Finding the Fourth Proportional to 15,764.64, 23,605.20 and 9,516.30

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Solution

The fourth proportional to 15,764.64, 23,605.20 and 9,516.30 is: 14,249.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,764.64 : 23,605.20 = 9,516.30 : x
  2. Step 2: Convert to fraction form
    15,764.64/23,605.20 = 9,516.30/x
  3. Step 3: Cross multiply
    15,764.64x = 23,605.20 × 9,516.30
  4. Step 4: Simplify right side
    15,764.64x = 224,634,164.76
  5. Step 5: Solve for x
    x = 224,634,164.76/15,764.64
  6. Step 6: Final answer
    x = 14,249.24

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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.