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Finding the Fourth Proportional to 16,570.36, 22,867.64 and 9,498.12

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Solution

The fourth proportional to 16,570.36, 22,867.64 and 9,498.12 is: 13,107.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,570.36 : 22,867.64 = 9,498.12 : x
  2. Step 2: Convert to fraction form
    16,570.36/22,867.64 = 9,498.12/x
  3. Step 3: Cross multiply
    16,570.36x = 22,867.64 × 9,498.12
  4. Step 4: Simplify right side
    16,570.36x = 217,199,588.84
  5. Step 5: Solve for x
    x = 217,199,588.84/16,570.36
  6. Step 6: Final answer
    x = 13,107.72

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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.