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Finding the Fourth Proportional to 17,762.56, 26,646.74 and 6,670.12

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Solution

The fourth proportional to 17,762.56, 26,646.74 and 6,670.12 is: 10,006.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,762.56 : 26,646.74 = 6,670.12 : x
  2. Step 2: Convert to fraction form
    17,762.56/26,646.74 = 6,670.12/x
  3. Step 3: Cross multiply
    17,762.56x = 26,646.74 × 6,670.12
  4. Step 4: Simplify right side
    17,762.56x = 177,736,953.41
  5. Step 5: Solve for x
    x = 177,736,953.41/17,762.56
  6. Step 6: Final answer
    x = 10,006.27

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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.