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Finding the Fourth Proportional to 30,956.24, 42,720 and 16,809.32

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Solution

The fourth proportional to 30,956.24, 42,720 and 16,809.32 is: 23,197.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,956.24 : 42,720 = 16,809.32 : x
  2. Step 2: Convert to fraction form
    30,956.24/42,720 = 16,809.32/x
  3. Step 3: Cross multiply
    30,956.24x = 42,720 × 16,809.32
  4. Step 4: Simplify right side
    30,956.24x = 718,094,150.40
  5. Step 5: Solve for x
    x = 718,094,150.40/30,956.24
  6. Step 6: Final answer
    x = 23,197.07

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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.