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Finding the Fourth Proportional to 23,548.81, 32,490.03 and 14,464.65

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Solution

The fourth proportional to 23,548.81, 32,490.03 and 14,464.65 is: 19,956.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,548.81 : 32,490.03 = 14,464.65 : x
  2. Step 2: Convert to fraction form
    23,548.81/32,490.03 = 14,464.65/x
  3. Step 3: Cross multiply
    23,548.81x = 32,490.03 × 14,464.65
  4. Step 4: Simplify right side
    23,548.81x = 469,956,831.21
  5. Step 5: Solve for x
    x = 469,956,831.21/23,548.81
  6. Step 6: Final answer
    x = 19,956.71

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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.