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Finding the Fourth Proportional to 14,024.66, 21,032.67 and 4,788.50

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Solution

The fourth proportional to 14,024.66, 21,032.67 and 4,788.50 is: 7,181.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,024.66 : 21,032.67 = 4,788.50 : x
  2. Step 2: Convert to fraction form
    14,024.66/21,032.67 = 4,788.50/x
  3. Step 3: Cross multiply
    14,024.66x = 21,032.67 × 4,788.50
  4. Step 4: Simplify right side
    14,024.66x = 100,714,940.30
  5. Step 5: Solve for x
    x = 100,714,940.30/14,024.66
  6. Step 6: Final answer
    x = 7,181.28

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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.