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Finding the Fourth Proportional to 42,007.98, 63,016.83 and 13,930.50

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Solution

The fourth proportional to 42,007.98, 63,016.83 and 13,930.50 is: 20,897.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,007.98 : 63,016.83 = 13,930.50 : x
  2. Step 2: Convert to fraction form
    42,007.98/63,016.83 = 13,930.50/x
  3. Step 3: Cross multiply
    42,007.98x = 63,016.83 × 13,930.50
  4. Step 4: Simplify right side
    42,007.98x = 877,855,950.32
  5. Step 5: Solve for x
    x = 877,855,950.32/42,007.98
  6. Step 6: Final answer
    x = 20,897.36

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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.