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Finding the Fourth Proportional to 16,978.56, 23,430.38 and 9,424.98

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Solution

The fourth proportional to 16,978.56, 23,430.38 and 9,424.98 is: 13,006.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,978.56 : 23,430.38 = 9,424.98 : x
  2. Step 2: Convert to fraction form
    16,978.56/23,430.38 = 9,424.98/x
  3. Step 3: Cross multiply
    16,978.56x = 23,430.38 × 9,424.98
  4. Step 4: Simplify right side
    16,978.56x = 220,830,815.77
  5. Step 5: Solve for x
    x = 220,830,815.77/16,978.56
  6. Step 6: Final answer
    x = 13,006.45

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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.