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Finding the Fourth Proportional to 12,574.69, 18,866.13 and 6,000.02

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Solution

The fourth proportional to 12,574.69, 18,866.13 and 6,000.02 is: 9,001.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,574.69 : 18,866.13 = 6,000.02 : x
  2. Step 2: Convert to fraction form
    12,574.69/18,866.13 = 6,000.02/x
  3. Step 3: Cross multiply
    12,574.69x = 18,866.13 × 6,000.02
  4. Step 4: Simplify right side
    12,574.69x = 113,197,127.32
  5. Step 5: Solve for x
    x = 113,197,127.32/12,574.69
  6. Step 6: Final answer
    x = 9,001.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.