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Finding the Fourth Proportional to 14,468.69, 21,697.36 and 5,106.71

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Solution

The fourth proportional to 14,468.69, 21,697.36 and 5,106.71 is: 7,658.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,468.69 : 21,697.36 = 5,106.71 : x
  2. Step 2: Convert to fraction form
    14,468.69/21,697.36 = 5,106.71/x
  3. Step 3: Cross multiply
    14,468.69x = 21,697.36 × 5,106.71
  4. Step 4: Simplify right side
    14,468.69x = 110,802,125.29
  5. Step 5: Solve for x
    x = 110,802,125.29/14,468.69
  6. Step 6: Final answer
    x = 7,658.06

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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.