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Finding the Fourth Proportional to 24,465.04, 36,672.64 and 9,653.60

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Solution

The fourth proportional to 24,465.04, 36,672.64 and 9,653.60 is: 14,470.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,465.04 : 36,672.64 = 9,653.60 : x
  2. Step 2: Convert to fraction form
    24,465.04/36,672.64 = 9,653.60/x
  3. Step 3: Cross multiply
    24,465.04x = 36,672.64 × 9,653.60
  4. Step 4: Simplify right side
    24,465.04x = 354,022,997.50
  5. Step 5: Solve for x
    x = 354,022,997.50/24,465.04
  6. Step 6: Final answer
    x = 14,470.57

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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.