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Finding the Fourth Proportional to 30,653.04, 42,293.78 and 17,899

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Solution

The fourth proportional to 30,653.04, 42,293.78 and 17,899 is: 24,696.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,653.04 : 42,293.78 = 17,899 : x
  2. Step 2: Convert to fraction form
    30,653.04/42,293.78 = 17,899/x
  3. Step 3: Cross multiply
    30,653.04x = 42,293.78 × 17,899
  4. Step 4: Simplify right side
    30,653.04x = 757,016,368.22
  5. Step 5: Solve for x
    x = 757,016,368.22/30,653.04
  6. Step 6: Final answer
    x = 24,696.29

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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.