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Finding the Fourth Proportional to 16,971.32, 23,421.74 and 9,420.04

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Solution

The fourth proportional to 16,971.32, 23,421.74 and 9,420.04 is: 13,000.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,971.32 : 23,421.74 = 9,420.04 : x
  2. Step 2: Convert to fraction form
    16,971.32/23,421.74 = 9,420.04/x
  3. Step 3: Cross multiply
    16,971.32x = 23,421.74 × 9,420.04
  4. Step 4: Simplify right side
    16,971.32x = 220,633,727.67
  5. Step 5: Solve for x
    x = 220,633,727.67/16,971.32
  6. Step 6: Final answer
    x = 13,000.39

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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.