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Finding the Fourth Proportional to 30,584, 42,206.56 and 17,336

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Solution

The fourth proportional to 30,584, 42,206.56 and 17,336 is: 23,924.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,584 : 42,206.56 = 17,336 : x
  2. Step 2: Convert to fraction form
    30,584/42,206.56 = 17,336/x
  3. Step 3: Cross multiply
    30,584x = 42,206.56 × 17,336
  4. Step 4: Simplify right side
    30,584x = 731,692,924.16
  5. Step 5: Solve for x
    x = 731,692,924.16/30,584
  6. Step 6: Final answer
    x = 23,924.04

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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.