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Finding the Fourth Proportional to 19,347.50, 29,019.72 and 6,196.34

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Solution

The fourth proportional to 19,347.50, 29,019.72 and 6,196.34 is: 9,294.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,347.50 : 29,019.72 = 6,196.34 : x
  2. Step 2: Convert to fraction form
    19,347.50/29,019.72 = 6,196.34/x
  3. Step 3: Cross multiply
    19,347.50x = 29,019.72 × 6,196.34
  4. Step 4: Simplify right side
    19,347.50x = 179,816,051.82
  5. Step 5: Solve for x
    x = 179,816,051.82/19,347.50
  6. Step 6: Final answer
    x = 9,294.02

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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.