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Finding the Fourth Proportional to 16,376.40, 22,602.38 and 9,661.64

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Solution

The fourth proportional to 16,376.40, 22,602.38 and 9,661.64 is: 13,334.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,376.40 : 22,602.38 = 9,661.64 : x
  2. Step 2: Convert to fraction form
    16,376.40/22,602.38 = 9,661.64/x
  3. Step 3: Cross multiply
    16,376.40x = 22,602.38 × 9,661.64
  4. Step 4: Simplify right side
    16,376.40x = 218,376,058.70
  5. Step 5: Solve for x
    x = 218,376,058.70/16,376.40
  6. Step 6: Final answer
    x = 13,334.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.