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Finding the Fourth Proportional to 30,628.86, 42,266.54 and 17,882.76

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Solution

The fourth proportional to 30,628.86, 42,266.54 and 17,882.76 is: 24,677.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,628.86 : 42,266.54 = 17,882.76 : x
  2. Step 2: Convert to fraction form
    30,628.86/42,266.54 = 17,882.76/x
  3. Step 3: Cross multiply
    30,628.86x = 42,266.54 × 17,882.76
  4. Step 4: Simplify right side
    30,628.86x = 755,842,301.44
  5. Step 5: Solve for x
    x = 755,842,301.44/30,628.86
  6. Step 6: Final answer
    x = 24,677.45

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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.