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Finding the Fourth Proportional to 25,624.42, 38,437.65 and 8,094.25

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Solution

The fourth proportional to 25,624.42, 38,437.65 and 8,094.25 is: 12,141.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,624.42 : 38,437.65 = 8,094.25 : x
  2. Step 2: Convert to fraction form
    25,624.42/38,437.65 = 8,094.25/x
  3. Step 3: Cross multiply
    25,624.42x = 38,437.65 × 8,094.25
  4. Step 4: Simplify right side
    25,624.42x = 311,123,948.51
  5. Step 5: Solve for x
    x = 311,123,948.51/25,624.42
  6. Step 6: Final answer
    x = 12,141.70

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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.