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Finding the Fourth Proportional to 25,663.50, 38,495.34 and 8,133.30

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Solution

The fourth proportional to 25,663.50, 38,495.34 and 8,133.30 is: 12,199.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,663.50 : 38,495.34 = 8,133.30 : x
  2. Step 2: Convert to fraction form
    25,663.50/38,495.34 = 8,133.30/x
  3. Step 3: Cross multiply
    25,663.50x = 38,495.34 × 8,133.30
  4. Step 4: Simplify right side
    25,663.50x = 313,094,148.82
  5. Step 5: Solve for x
    x = 313,094,148.82/25,663.50
  6. Step 6: Final answer
    x = 12,199.98

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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.