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Finding the Fourth Proportional to 20,227.84, 30,328.80 and 13,970.32

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Solution

The fourth proportional to 20,227.84, 30,328.80 and 13,970.32 is: 20,946.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,227.84 : 30,328.80 = 13,970.32 : x
  2. Step 2: Convert to fraction form
    20,227.84/30,328.80 = 13,970.32/x
  3. Step 3: Cross multiply
    20,227.84x = 30,328.80 × 13,970.32
  4. Step 4: Simplify right side
    20,227.84x = 423,703,041.22
  5. Step 5: Solve for x
    x = 423,703,041.22/20,227.84
  6. Step 6: Final answer
    x = 20,946.53

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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.