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Finding the Fourth Proportional to 15,887.16, 21,933.96 and 9,924

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Solution

The fourth proportional to 15,887.16, 21,933.96 and 9,924 is: 13,701.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,887.16 : 21,933.96 = 9,924 : x
  2. Step 2: Convert to fraction form
    15,887.16/21,933.96 = 9,924/x
  3. Step 3: Cross multiply
    15,887.16x = 21,933.96 × 9,924
  4. Step 4: Simplify right side
    15,887.16x = 217,672,619.04
  5. Step 5: Solve for x
    x = 217,672,619.04/15,887.16
  6. Step 6: Final answer
    x = 13,701.17

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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.