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Finding the Fourth Proportional to 14,396.94, 21,578.94 and 6,064.47

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Solution

The fourth proportional to 14,396.94, 21,578.94 and 6,064.47 is: 9,089.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,396.94 : 21,578.94 = 6,064.47 : x
  2. Step 2: Convert to fraction form
    14,396.94/21,578.94 = 6,064.47/x
  3. Step 3: Cross multiply
    14,396.94x = 21,578.94 × 6,064.47
  4. Step 4: Simplify right side
    14,396.94x = 130,864,834.26
  5. Step 5: Solve for x
    x = 130,864,834.26/14,396.94
  6. Step 6: Final answer
    x = 9,089.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.