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Finding the Fourth Proportional to 21,705.40, 30,431.30 and 21,705.40

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Solution

The fourth proportional to 21,705.40, 30,431.30 and 21,705.40 is: 30,431.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,705.40 : 30,431.30 = 21,705.40 : x
  2. Step 2: Convert to fraction form
    21,705.40/30,431.30 = 21,705.40/x
  3. Step 3: Cross multiply
    21,705.40x = 30,431.30 × 21,705.40
  4. Step 4: Simplify right side
    21,705.40x = 660,523,539.02
  5. Step 5: Solve for x
    x = 660,523,539.02/21,705.40
  6. Step 6: Final answer
    x = 30,431.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.