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Finding the Fourth Proportional to 19,688.45, 29,537.13 and 7,208.42

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Solution

The fourth proportional to 19,688.45, 29,537.13 and 7,208.42 is: 10,814.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,688.45 : 29,537.13 = 7,208.42 : x
  2. Step 2: Convert to fraction form
    19,688.45/29,537.13 = 7,208.42/x
  3. Step 3: Cross multiply
    19,688.45x = 29,537.13 × 7,208.42
  4. Step 4: Simplify right side
    19,688.45x = 212,916,038.63
  5. Step 5: Solve for x
    x = 212,916,038.63/19,688.45
  6. Step 6: Final answer
    x = 10,814.26

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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.