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Finding the Fourth Proportional to 13,810.36, 19,058.34 and 8,221

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Solution

The fourth proportional to 13,810.36, 19,058.34 and 8,221 is: 11,345.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810.36 : 19,058.34 = 8,221 : x
  2. Step 2: Convert to fraction form
    13,810.36/19,058.34 = 8,221/x
  3. Step 3: Cross multiply
    13,810.36x = 19,058.34 × 8,221
  4. Step 4: Simplify right side
    13,810.36x = 156,678,613.14
  5. Step 5: Solve for x
    x = 156,678,613.14/13,810.36
  6. Step 6: Final answer
    x = 11,345.01

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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.