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Finding the Fourth Proportional to 20,298.33, 30,416.09 and 14,070.51

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Solution

The fourth proportional to 20,298.33, 30,416.09 and 14,070.51 is: 21,083.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,298.33 : 30,416.09 = 14,070.51 : x
  2. Step 2: Convert to fraction form
    20,298.33/30,416.09 = 14,070.51/x
  3. Step 3: Cross multiply
    20,298.33x = 30,416.09 × 14,070.51
  4. Step 4: Simplify right side
    20,298.33x = 427,969,828.15
  5. Step 5: Solve for x
    x = 427,969,828.15/20,298.33
  6. Step 6: Final answer
    x = 21,083.99

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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.