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Finding the Fourth Proportional to 16,680.69, 23,018.67 and 9,970.02

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Solution

The fourth proportional to 16,680.69, 23,018.67 and 9,970.02 is: 13,758.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,680.69 : 23,018.67 = 9,970.02 : x
  2. Step 2: Convert to fraction form
    16,680.69/23,018.67 = 9,970.02/x
  3. Step 3: Cross multiply
    16,680.69x = 23,018.67 × 9,970.02
  4. Step 4: Simplify right side
    16,680.69x = 229,496,485.18
  5. Step 5: Solve for x
    x = 229,496,485.18/16,680.69
  6. Step 6: Final answer
    x = 13,758.22

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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.