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Finding the Fourth Proportional to 14,612.33, 21,929.85 and 5,852.99

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Solution

The fourth proportional to 14,612.33, 21,929.85 and 5,852.99 is: 8,784.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,612.33 : 21,929.85 = 5,852.99 : x
  2. Step 2: Convert to fraction form
    14,612.33/21,929.85 = 5,852.99/x
  3. Step 3: Cross multiply
    14,612.33x = 21,929.85 × 5,852.99
  4. Step 4: Simplify right side
    14,612.33x = 128,355,083.10
  5. Step 5: Solve for x
    x = 128,355,083.10/14,612.33
  6. Step 6: Final answer
    x = 8,784.03

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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.