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Finding the Fourth Proportional to 21,005.33, 28,984.73 and 14,214.20

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Solution

The fourth proportional to 21,005.33, 28,984.73 and 14,214.20 is: 19,613.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,005.33 : 28,984.73 = 14,214.20 : x
  2. Step 2: Convert to fraction form
    21,005.33/28,984.73 = 14,214.20/x
  3. Step 3: Cross multiply
    21,005.33x = 28,984.73 × 14,214.20
  4. Step 4: Simplify right side
    21,005.33x = 411,994,533.17
  5. Step 5: Solve for x
    x = 411,994,533.17/21,005.33
  6. Step 6: Final answer
    x = 19,613.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.