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Finding the Fourth Proportional to 23,374.12, 32,256.40 and 12,764

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Solution

The fourth proportional to 23,374.12, 32,256.40 and 12,764 is: 17,614.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,374.12 : 32,256.40 = 12,764 : x
  2. Step 2: Convert to fraction form
    23,374.12/32,256.40 = 12,764/x
  3. Step 3: Cross multiply
    23,374.12x = 32,256.40 × 12,764
  4. Step 4: Simplify right side
    23,374.12x = 411,720,689.60
  5. Step 5: Solve for x
    x = 411,720,689.60/23,374.12
  6. Step 6: Final answer
    x = 17,614.38

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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.