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Finding the Fourth Proportional to 30,704.13, 42,357.74 and 18,765

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Solution

The fourth proportional to 30,704.13, 42,357.74 and 18,765 is: 25,887.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,704.13 : 42,357.74 = 18,765 : x
  2. Step 2: Convert to fraction form
    30,704.13/42,357.74 = 18,765/x
  3. Step 3: Cross multiply
    30,704.13x = 42,357.74 × 18,765
  4. Step 4: Simplify right side
    30,704.13x = 794,842,897.28
  5. Step 5: Solve for x
    x = 794,842,897.28/30,704.13
  6. Step 6: Final answer
    x = 25,887.17

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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.