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Finding the Fourth Proportional to 16,971.16, 23,419.82 and 9,417.32

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Solution

The fourth proportional to 16,971.16, 23,419.82 and 9,417.32 is: 12,995.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,971.16 : 23,419.82 = 9,417.32 : x
  2. Step 2: Convert to fraction form
    16,971.16/23,419.82 = 9,417.32/x
  3. Step 3: Cross multiply
    16,971.16x = 23,419.82 × 9,417.32
  4. Step 4: Simplify right side
    16,971.16x = 220,551,939.28
  5. Step 5: Solve for x
    x = 220,551,939.28/16,971.16
  6. Step 6: Final answer
    x = 12,995.69

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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.