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Finding the Fourth Proportional to 30,713.40, 42,383.98 and 17,284.65

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Solution

The fourth proportional to 30,713.40, 42,383.98 and 17,284.65 is: 23,852.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,713.40 : 42,383.98 = 17,284.65 : x
  2. Step 2: Convert to fraction form
    30,713.40/42,383.98 = 17,284.65/x
  3. Step 3: Cross multiply
    30,713.40x = 42,383.98 × 17,284.65
  4. Step 4: Simplify right side
    30,713.40x = 732,592,259.91
  5. Step 5: Solve for x
    x = 732,592,259.91/30,713.40
  6. Step 6: Final answer
    x = 23,852.53

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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.