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Finding the Fourth Proportional to 25,109.64, 37,666.20 and 7,340.46

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Solution

The fourth proportional to 25,109.64, 37,666.20 and 7,340.46 is: 11,011.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,109.64 : 37,666.20 = 7,340.46 : x
  2. Step 2: Convert to fraction form
    25,109.64/37,666.20 = 7,340.46/x
  3. Step 3: Cross multiply
    25,109.64x = 37,666.20 × 7,340.46
  4. Step 4: Simplify right side
    25,109.64x = 276,487,234.45
  5. Step 5: Solve for x
    x = 276,487,234.45/25,109.64
  6. Step 6: Final answer
    x = 11,011.20

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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.