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Finding the Fourth Proportional to 16,970.31, 23,422.77 and 9,897.80

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Solution

The fourth proportional to 16,970.31, 23,422.77 and 9,897.80 is: 13,661.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,970.31 : 23,422.77 = 9,897.80 : x
  2. Step 2: Convert to fraction form
    16,970.31/23,422.77 = 9,897.80/x
  3. Step 3: Cross multiply
    16,970.31x = 23,422.77 × 9,897.80
  4. Step 4: Simplify right side
    16,970.31x = 231,833,775.79
  5. Step 5: Solve for x
    x = 231,833,775.79/16,970.31
  6. Step 6: Final answer
    x = 13,661.14

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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.