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Finding the Fourth Proportional to 30,867.16, 42,596.40 and 16,719.16

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Solution

The fourth proportional to 30,867.16, 42,596.40 and 16,719.16 is: 23,072.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,867.16 : 42,596.40 = 16,719.16 : x
  2. Step 2: Convert to fraction form
    30,867.16/42,596.40 = 16,719.16/x
  3. Step 3: Cross multiply
    30,867.16x = 42,596.40 × 16,719.16
  4. Step 4: Simplify right side
    30,867.16x = 712,176,027.02
  5. Step 5: Solve for x
    x = 712,176,027.02/30,867.16
  6. Step 6: Final answer
    x = 23,072.29

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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.