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Finding the Fourth Proportional to 25,109.18, 37,649 and 9,527.90

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Solution

The fourth proportional to 25,109.18, 37,649 and 9,527.90 is: 14,286.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,109.18 : 37,649 = 9,527.90 : x
  2. Step 2: Convert to fraction form
    25,109.18/37,649 = 9,527.90/x
  3. Step 3: Cross multiply
    25,109.18x = 37,649 × 9,527.90
  4. Step 4: Simplify right side
    25,109.18x = 358,715,907.10
  5. Step 5: Solve for x
    x = 358,715,907.10/25,109.18
  6. Step 6: Final answer
    x = 14,286.25

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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.