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Finding the Fourth Proportional to 21,218.16, 31,824.32 and 11,748

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Solution

The fourth proportional to 21,218.16, 31,824.32 and 11,748 is: 17,620.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,218.16 : 31,824.32 = 11,748 : x
  2. Step 2: Convert to fraction form
    21,218.16/31,824.32 = 11,748/x
  3. Step 3: Cross multiply
    21,218.16x = 31,824.32 × 11,748
  4. Step 4: Simplify right side
    21,218.16x = 373,872,111.36
  5. Step 5: Solve for x
    x = 373,872,111.36/21,218.16
  6. Step 6: Final answer
    x = 17,620.38

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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.