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Finding the Fourth Proportional to 30,857.88, 42,583.68 and 16,710.69

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Solution

The fourth proportional to 30,857.88, 42,583.68 and 16,710.69 is: 23,060.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,857.88 : 42,583.68 = 16,710.69 : x
  2. Step 2: Convert to fraction form
    30,857.88/42,583.68 = 16,710.69/x
  3. Step 3: Cross multiply
    30,857.88x = 42,583.68 × 16,710.69
  4. Step 4: Simplify right side
    30,857.88x = 711,602,675.54
  5. Step 5: Solve for x
    x = 711,602,675.54/30,857.88
  6. Step 6: Final answer
    x = 23,060.65

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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.