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Finding the Fourth Proportional to 19,670.67, 29,495.07 and 7,970.22

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Solution

The fourth proportional to 19,670.67, 29,495.07 and 7,970.22 is: 11,950.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,670.67 : 29,495.07 = 7,970.22 : x
  2. Step 2: Convert to fraction form
    19,670.67/29,495.07 = 7,970.22/x
  3. Step 3: Cross multiply
    19,670.67x = 29,495.07 × 7,970.22
  4. Step 4: Simplify right side
    19,670.67x = 235,082,196.82
  5. Step 5: Solve for x
    x = 235,082,196.82/19,670.67
  6. Step 6: Final answer
    x = 11,950.90

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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.