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Finding the Fourth Proportional to 30,970.32, 42,739.26 and 16,823.17

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Solution

The fourth proportional to 30,970.32, 42,739.26 and 16,823.17 is: 23,216.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,970.32 : 42,739.26 = 16,823.17 : x
  2. Step 2: Convert to fraction form
    30,970.32/42,739.26 = 16,823.17/x
  3. Step 3: Cross multiply
    30,970.32x = 42,739.26 × 16,823.17
  4. Step 4: Simplify right side
    30,970.32x = 719,009,622.96
  5. Step 5: Solve for x
    x = 719,009,622.96/30,970.32
  6. Step 6: Final answer
    x = 23,216.09

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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.