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Finding the Fourth Proportional to 24,509.90, 36,774.45 and 9,716.30

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Solution

The fourth proportional to 24,509.90, 36,774.45 and 9,716.30 is: 14,578.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,509.90 : 36,774.45 = 9,716.30 : x
  2. Step 2: Convert to fraction form
    24,509.90/36,774.45 = 9,716.30/x
  3. Step 3: Cross multiply
    24,509.90x = 36,774.45 × 9,716.30
  4. Step 4: Simplify right side
    24,509.90x = 357,311,588.54
  5. Step 5: Solve for x
    x = 357,311,588.54/24,509.90
  6. Step 6: Final answer
    x = 14,578.26

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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.