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Finding the Fourth Proportional to 19,907.84, 29,860.32 and 6,056

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Solution

The fourth proportional to 19,907.84, 29,860.32 and 6,056 is: 9,083.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,907.84 : 29,860.32 = 6,056 : x
  2. Step 2: Convert to fraction form
    19,907.84/29,860.32 = 6,056/x
  3. Step 3: Cross multiply
    19,907.84x = 29,860.32 × 6,056
  4. Step 4: Simplify right side
    19,907.84x = 180,834,097.92
  5. Step 5: Solve for x
    x = 180,834,097.92/19,907.84
  6. Step 6: Final answer
    x = 9,083.56

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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.