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Finding the Fourth Proportional to 16,971.31, 23,419.28 and 9,417.16

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Solution

The fourth proportional to 16,971.31, 23,419.28 and 9,417.16 is: 12,995.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,971.31 : 23,419.28 = 9,417.16 : x
  2. Step 2: Convert to fraction form
    16,971.31/23,419.28 = 9,417.16/x
  3. Step 3: Cross multiply
    16,971.31x = 23,419.28 × 9,417.16
  4. Step 4: Simplify right side
    16,971.31x = 220,543,106.84
  5. Step 5: Solve for x
    x = 220,543,106.84/16,971.31
  6. Step 6: Final answer
    x = 12,995.05

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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.