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Finding the Fourth Proportional to 21,258.36, 31,887.18 and 7,407

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Solution

The fourth proportional to 21,258.36, 31,887.18 and 7,407 is: 11,110.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,258.36 : 31,887.18 = 7,407 : x
  2. Step 2: Convert to fraction form
    21,258.36/31,887.18 = 7,407/x
  3. Step 3: Cross multiply
    21,258.36x = 31,887.18 × 7,407
  4. Step 4: Simplify right side
    21,258.36x = 236,188,342.26
  5. Step 5: Solve for x
    x = 236,188,342.26/21,258.36
  6. Step 6: Final answer
    x = 11,110.37

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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.