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Finding the Fourth Proportional to 16,685.87, 23,024.21 and 9,970.07

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Solution

The fourth proportional to 16,685.87, 23,024.21 and 9,970.07 is: 13,757.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,685.87 : 23,024.21 = 9,970.07 : x
  2. Step 2: Convert to fraction form
    16,685.87/23,024.21 = 9,970.07/x
  3. Step 3: Cross multiply
    16,685.87x = 23,024.21 × 9,970.07
  4. Step 4: Simplify right side
    16,685.87x = 229,552,985.39
  5. Step 5: Solve for x
    x = 229,552,985.39/16,685.87
  6. Step 6: Final answer
    x = 13,757.33

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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.