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Finding the Fourth Proportional to 20,450.72, 30,656.60 and 6,590

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Solution

The fourth proportional to 20,450.72, 30,656.60 and 6,590 is: 9,878.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,450.72 : 30,656.60 = 6,590 : x
  2. Step 2: Convert to fraction form
    20,450.72/30,656.60 = 6,590/x
  3. Step 3: Cross multiply
    20,450.72x = 30,656.60 × 6,590
  4. Step 4: Simplify right side
    20,450.72x = 202,026,994
  5. Step 5: Solve for x
    x = 202,026,994/20,450.72
  6. Step 6: Final answer
    x = 9,878.72

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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.