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Finding the Fourth Proportional to 21,477.36, 29,632.68 and 13,924

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Solution

The fourth proportional to 21,477.36, 29,632.68 and 13,924 is: 19,211.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,477.36 : 29,632.68 = 13,924 : x
  2. Step 2: Convert to fraction form
    21,477.36/29,632.68 = 13,924/x
  3. Step 3: Cross multiply
    21,477.36x = 29,632.68 × 13,924
  4. Step 4: Simplify right side
    21,477.36x = 412,605,436.32
  5. Step 5: Solve for x
    x = 412,605,436.32/21,477.36
  6. Step 6: Final answer
    x = 19,211.18

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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.