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Finding the Fourth Proportional to 23,609.02, 35,417.92 and 7,814.20

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Solution

The fourth proportional to 23,609.02, 35,417.92 and 7,814.20 is: 11,722.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,609.02 : 35,417.92 = 7,814.20 : x
  2. Step 2: Convert to fraction form
    23,609.02/35,417.92 = 7,814.20/x
  3. Step 3: Cross multiply
    23,609.02x = 35,417.92 × 7,814.20
  4. Step 4: Simplify right side
    23,609.02x = 276,762,710.46
  5. Step 5: Solve for x
    x = 276,762,710.46/23,609.02
  6. Step 6: Final answer
    x = 11,722.75

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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.