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Finding the Fourth Proportional to 30,644.16, 42,291.21 and 17,216.58

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Solution

The fourth proportional to 30,644.16, 42,291.21 and 17,216.58 is: 23,760.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,644.16 : 42,291.21 = 17,216.58 : x
  2. Step 2: Convert to fraction form
    30,644.16/42,291.21 = 17,216.58/x
  3. Step 3: Cross multiply
    30,644.16x = 42,291.21 × 17,216.58
  4. Step 4: Simplify right side
    30,644.16x = 728,110,000.26
  5. Step 5: Solve for x
    x = 728,110,000.26/30,644.16
  6. Step 6: Final answer
    x = 23,760.16

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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.