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Finding the Fourth Proportional to 17,577.12, 26,376.06 and 6,491.64

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Solution

The fourth proportional to 17,577.12, 26,376.06 and 6,491.64 is: 9,741.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,577.12 : 26,376.06 = 6,491.64 : x
  2. Step 2: Convert to fraction form
    17,577.12/26,376.06 = 6,491.64/x
  3. Step 3: Cross multiply
    17,577.12x = 26,376.06 × 6,491.64
  4. Step 4: Simplify right side
    17,577.12x = 171,223,886.14
  5. Step 5: Solve for x
    x = 171,223,886.14/17,577.12
  6. Step 6: Final answer
    x = 9,741.29

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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.