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Finding the Fourth Proportional to 13,061.44, 19,584.08 and 4,294

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Solution

The fourth proportional to 13,061.44, 19,584.08 and 4,294 is: 6,438.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,061.44 : 19,584.08 = 4,294 : x
  2. Step 2: Convert to fraction form
    13,061.44/19,584.08 = 4,294/x
  3. Step 3: Cross multiply
    13,061.44x = 19,584.08 × 4,294
  4. Step 4: Simplify right side
    13,061.44x = 84,094,039.52
  5. Step 5: Solve for x
    x = 84,094,039.52/13,061.44
  6. Step 6: Final answer
    x = 6,438.34

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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.