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Finding the Fourth Proportional to 23,807.60, 35,683.32 and 8,216.72

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Solution

The fourth proportional to 23,807.60, 35,683.32 and 8,216.72 is: 12,315.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,807.60 : 35,683.32 = 8,216.72 : x
  2. Step 2: Convert to fraction form
    23,807.60/35,683.32 = 8,216.72/x
  3. Step 3: Cross multiply
    23,807.60x = 35,683.32 × 8,216.72
  4. Step 4: Simplify right side
    23,807.60x = 293,199,849.11
  5. Step 5: Solve for x
    x = 293,199,849.11/23,807.60
  6. Step 6: Final answer
    x = 12,315.39

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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.