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Finding the Fourth Proportional to 23,774.16, 32,808.60 and 13,164

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Solution

The fourth proportional to 23,774.16, 32,808.60 and 13,164 is: 18,166.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,774.16 : 32,808.60 = 13,164 : x
  2. Step 2: Convert to fraction form
    23,774.16/32,808.60 = 13,164/x
  3. Step 3: Cross multiply
    23,774.16x = 32,808.60 × 13,164
  4. Step 4: Simplify right side
    23,774.16x = 431,892,410.40
  5. Step 5: Solve for x
    x = 431,892,410.40/23,774.16
  6. Step 6: Final answer
    x = 18,166.46

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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.