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Finding the Fourth Proportional to 16,420.32, 22,661.64 and 9,708.12

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Solution

The fourth proportional to 16,420.32, 22,661.64 and 9,708.12 is: 13,398.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,420.32 : 22,661.64 = 9,708.12 : x
  2. Step 2: Convert to fraction form
    16,420.32/22,661.64 = 9,708.12/x
  3. Step 3: Cross multiply
    16,420.32x = 22,661.64 × 9,708.12
  4. Step 4: Simplify right side
    16,420.32x = 220,001,920.52
  5. Step 5: Solve for x
    x = 220,001,920.52/16,420.32
  6. Step 6: Final answer
    x = 13,398.15

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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.