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Finding the Fourth Proportional to 23,533.46, 32,491.38 and 14,590.46

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Solution

The fourth proportional to 23,533.46, 32,491.38 and 14,590.46 is: 20,144.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,533.46 : 32,491.38 = 14,590.46 : x
  2. Step 2: Convert to fraction form
    23,533.46/32,491.38 = 14,590.46/x
  3. Step 3: Cross multiply
    23,533.46x = 32,491.38 × 14,590.46
  4. Step 4: Simplify right side
    23,533.46x = 474,064,180.23
  5. Step 5: Solve for x
    x = 474,064,180.23/23,533.46
  6. Step 6: Final answer
    x = 20,144.26

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Why These Related Problems?

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