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Finding the Fourth Proportional to 21,788.16, 32,664.96 and 7,929.60

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Solution

The fourth proportional to 21,788.16, 32,664.96 and 7,929.60 is: 11,888.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,788.16 : 32,664.96 = 7,929.60 : x
  2. Step 2: Convert to fraction form
    21,788.16/32,664.96 = 7,929.60/x
  3. Step 3: Cross multiply
    21,788.16x = 32,664.96 × 7,929.60
  4. Step 4: Simplify right side
    21,788.16x = 259,020,066.82
  5. Step 5: Solve for x
    x = 259,020,066.82/21,788.16
  6. Step 6: Final answer
    x = 11,888.11

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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.