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Finding the Fourth Proportional to 30,646, 42,291.52 and 17,398

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Solution

The fourth proportional to 30,646, 42,291.52 and 17,398 is: 24,009.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,646 : 42,291.52 = 17,398 : x
  2. Step 2: Convert to fraction form
    30,646/42,291.52 = 17,398/x
  3. Step 3: Cross multiply
    30,646x = 42,291.52 × 17,398
  4. Step 4: Simplify right side
    30,646x = 735,787,864.96
  5. Step 5: Solve for x
    x = 735,787,864.96/30,646
  6. Step 6: Final answer
    x = 24,009.26

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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.