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Finding the Fourth Proportional to 16,184.61, 22,335.08 and 9,809.64

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Solution

The fourth proportional to 16,184.61, 22,335.08 and 9,809.64 is: 13,537.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,184.61 : 22,335.08 = 9,809.64 : x
  2. Step 2: Convert to fraction form
    16,184.61/22,335.08 = 9,809.64/x
  3. Step 3: Cross multiply
    16,184.61x = 22,335.08 × 9,809.64
  4. Step 4: Simplify right side
    16,184.61x = 219,099,045.12
  5. Step 5: Solve for x
    x = 219,099,045.12/16,184.61
  6. Step 6: Final answer
    x = 13,537.49

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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.