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Finding the Fourth Proportional to 19,670.78, 29,498.34 and 7,187.96

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Solution

The fourth proportional to 19,670.78, 29,498.34 and 7,187.96 is: 10,779.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,670.78 : 29,498.34 = 7,187.96 : x
  2. Step 2: Convert to fraction form
    19,670.78/29,498.34 = 7,187.96/x
  3. Step 3: Cross multiply
    19,670.78x = 29,498.34 × 7,187.96
  4. Step 4: Simplify right side
    19,670.78x = 212,032,887.99
  5. Step 5: Solve for x
    x = 212,032,887.99/19,670.78
  6. Step 6: Final answer
    x = 10,779.08

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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.