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Finding the Fourth Proportional to 23,064, 34,615.44 and 12,538.32

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Solution

The fourth proportional to 23,064, 34,615.44 and 12,538.32 is: 18,818.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,064 : 34,615.44 = 12,538.32 : x
  2. Step 2: Convert to fraction form
    23,064/34,615.44 = 12,538.32/x
  3. Step 3: Cross multiply
    23,064x = 34,615.44 × 12,538.32
  4. Step 4: Simplify right side
    23,064x = 434,019,463.66
  5. Step 5: Solve for x
    x = 434,019,463.66/23,064
  6. Step 6: Final answer
    x = 18,818.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.