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Finding the Fourth Proportional to 23,665.46, 32,652.51 and 14,464.69

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Solution

The fourth proportional to 23,665.46, 32,652.51 and 14,464.69 is: 19,957.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,665.46 : 32,652.51 = 14,464.69 : x
  2. Step 2: Convert to fraction form
    23,665.46/32,652.51 = 14,464.69/x
  3. Step 3: Cross multiply
    23,665.46x = 32,652.51 × 14,464.69
  4. Step 4: Simplify right side
    23,665.46x = 472,308,271.61
  5. Step 5: Solve for x
    x = 472,308,271.61/23,665.46
  6. Step 6: Final answer
    x = 19,957.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.