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Finding the Fourth Proportional to 16,970.83, 23,419.76 and 9,417.27

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Solution

The fourth proportional to 16,970.83, 23,419.76 and 9,417.27 is: 12,995.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,970.83 : 23,419.76 = 9,417.27 : x
  2. Step 2: Convert to fraction form
    16,970.83/23,419.76 = 9,417.27/x
  3. Step 3: Cross multiply
    16,970.83x = 23,419.76 × 9,417.27
  4. Step 4: Simplify right side
    16,970.83x = 220,550,203.26
  5. Step 5: Solve for x
    x = 220,550,203.26/16,970.83
  6. Step 6: Final answer
    x = 12,995.84

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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.