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Finding the Fourth Proportional to 14,415.96, 21,616.56 and 6,618

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Solution

The fourth proportional to 14,415.96, 21,616.56 and 6,618 is: 9,923.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,415.96 : 21,616.56 = 6,618 : x
  2. Step 2: Convert to fraction form
    14,415.96/21,616.56 = 6,618/x
  3. Step 3: Cross multiply
    14,415.96x = 21,616.56 × 6,618
  4. Step 4: Simplify right side
    14,415.96x = 143,058,394.08
  5. Step 5: Solve for x
    x = 143,058,394.08/14,415.96
  6. Step 6: Final answer
    x = 9,923.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.