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Finding the Fourth Proportional to 16,971.68, 23,421 and 9,417.52

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Solution

The fourth proportional to 16,971.68, 23,421 and 9,417.52 is: 12,996.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,971.68 : 23,421 = 9,417.52 : x
  2. Step 2: Convert to fraction form
    16,971.68/23,421 = 9,417.52/x
  3. Step 3: Cross multiply
    16,971.68x = 23,421 × 9,417.52
  4. Step 4: Simplify right side
    16,971.68x = 220,567,735.92
  5. Step 5: Solve for x
    x = 220,567,735.92/16,971.68
  6. Step 6: Final answer
    x = 12,996.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.