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Finding the Fourth Proportional to 14,114.34, 21,153.05 and 5,784.60

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Solution

The fourth proportional to 14,114.34, 21,153.05 and 5,784.60 is: 8,669.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,114.34 : 21,153.05 = 5,784.60 : x
  2. Step 2: Convert to fraction form
    14,114.34/21,153.05 = 5,784.60/x
  3. Step 3: Cross multiply
    14,114.34x = 21,153.05 × 5,784.60
  4. Step 4: Simplify right side
    14,114.34x = 122,361,904.11
  5. Step 5: Solve for x
    x = 122,361,904.11/14,114.34
  6. Step 6: Final answer
    x = 8,669.34

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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.