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Finding the Fourth Proportional to 23,533.71, 32,491.73 and 14,590.71

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Solution

The fourth proportional to 23,533.71, 32,491.73 and 14,590.71 is: 20,144.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,533.71 : 32,491.73 = 14,590.71 : x
  2. Step 2: Convert to fraction form
    23,533.71/32,491.73 = 14,590.71/x
  3. Step 3: Cross multiply
    23,533.71x = 32,491.73 × 14,590.71
  4. Step 4: Simplify right side
    23,533.71x = 474,077,409.83
  5. Step 5: Solve for x
    x = 474,077,409.83/23,533.71
  6. Step 6: Final answer
    x = 20,144.61

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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.