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Finding the Fourth Proportional to 20,051.02, 30,056.73 and 9,670.06

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Solution

The fourth proportional to 20,051.02, 30,056.73 and 9,670.06 is: 14,495.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,051.02 : 30,056.73 = 9,670.06 : x
  2. Step 2: Convert to fraction form
    20,051.02/30,056.73 = 9,670.06/x
  3. Step 3: Cross multiply
    20,051.02x = 30,056.73 × 9,670.06
  4. Step 4: Simplify right side
    20,051.02x = 290,650,382.50
  5. Step 5: Solve for x
    x = 290,650,382.50/20,051.02
  6. Step 6: Final answer
    x = 14,495.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.