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Finding the Fourth Proportional to 23,451.34, 32,362.53 and 12,840.98

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Solution

The fourth proportional to 23,451.34, 32,362.53 and 12,840.98 is: 17,720.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,451.34 : 32,362.53 = 12,840.98 : x
  2. Step 2: Convert to fraction form
    23,451.34/32,362.53 = 12,840.98/x
  3. Step 3: Cross multiply
    23,451.34x = 32,362.53 × 12,840.98
  4. Step 4: Simplify right side
    23,451.34x = 415,566,426.63
  5. Step 5: Solve for x
    x = 415,566,426.63/23,451.34
  6. Step 6: Final answer
    x = 17,720.37

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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.