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Finding the Fourth Proportional to 25,627.34, 38,438.15 and 6,909.24

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Solution

The fourth proportional to 25,627.34, 38,438.15 and 6,909.24 is: 10,363.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,627.34 : 38,438.15 = 6,909.24 : x
  2. Step 2: Convert to fraction form
    25,627.34/38,438.15 = 6,909.24/x
  3. Step 3: Cross multiply
    25,627.34x = 38,438.15 × 6,909.24
  4. Step 4: Simplify right side
    25,627.34x = 265,578,403.51
  5. Step 5: Solve for x
    x = 265,578,403.51/25,627.34
  6. Step 6: Final answer
    x = 10,363.09

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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.