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Finding the Fourth Proportional to 19,678.14, 29,522.22 and 6,534.18

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Solution

The fourth proportional to 19,678.14, 29,522.22 and 6,534.18 is: 9,802.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,678.14 : 29,522.22 = 6,534.18 : x
  2. Step 2: Convert to fraction form
    19,678.14/29,522.22 = 6,534.18/x
  3. Step 3: Cross multiply
    19,678.14x = 29,522.22 × 6,534.18
  4. Step 4: Simplify right side
    19,678.14x = 192,903,499.48
  5. Step 5: Solve for x
    x = 192,903,499.48/19,678.14
  6. Step 6: Final answer
    x = 9,802.93

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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.