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Finding the Fourth Proportional to 23,308, 34,962.27 and 5,777.98

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Solution

The fourth proportional to 23,308, 34,962.27 and 5,777.98 is: 8,667.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,308 : 34,962.27 = 5,777.98 : x
  2. Step 2: Convert to fraction form
    23,308/34,962.27 = 5,777.98/x
  3. Step 3: Cross multiply
    23,308x = 34,962.27 × 5,777.98
  4. Step 4: Simplify right side
    23,308x = 202,011,296.81
  5. Step 5: Solve for x
    x = 202,011,296.81/23,308
  6. Step 6: Final answer
    x = 8,667.04

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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.