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Finding the Fourth Proportional to 30,966.84, 42,740.46 and 18,389.16

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Solution

The fourth proportional to 30,966.84, 42,740.46 and 18,389.16 is: 25,380.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,966.84 : 42,740.46 = 18,389.16 : x
  2. Step 2: Convert to fraction form
    30,966.84/42,740.46 = 18,389.16/x
  3. Step 3: Cross multiply
    30,966.84x = 42,740.46 × 18,389.16
  4. Step 4: Simplify right side
    30,966.84x = 785,961,157.41
  5. Step 5: Solve for x
    x = 785,961,157.41/30,966.84
  6. Step 6: Final answer
    x = 25,380.73

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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.