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Finding the Fourth Proportional to 14,907.69, 22,366.98 and 6,143.34

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Solution

The fourth proportional to 14,907.69, 22,366.98 and 6,143.34 is: 9,217.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,907.69 : 22,366.98 = 6,143.34 : x
  2. Step 2: Convert to fraction form
    14,907.69/22,366.98 = 6,143.34/x
  3. Step 3: Cross multiply
    14,907.69x = 22,366.98 × 6,143.34
  4. Step 4: Simplify right side
    14,907.69x = 137,407,962.91
  5. Step 5: Solve for x
    x = 137,407,962.91/14,907.69
  6. Step 6: Final answer
    x = 9,217.25

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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.