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Finding the Fourth Proportional to 25,774.65, 38,667.51 and 8,004.96

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Solution

The fourth proportional to 25,774.65, 38,667.51 and 8,004.96 is: 12,009.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,774.65 : 38,667.51 = 8,004.96 : x
  2. Step 2: Convert to fraction form
    25,774.65/38,667.51 = 8,004.96/x
  3. Step 3: Cross multiply
    25,774.65x = 38,667.51 × 8,004.96
  4. Step 4: Simplify right side
    25,774.65x = 309,531,870.85
  5. Step 5: Solve for x
    x = 309,531,870.85/25,774.65
  6. Step 6: Final answer
    x = 12,009.16

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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.