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Finding the Fourth Proportional to 14,154.55, 19,532.74 and 7,867.33

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Solution

The fourth proportional to 14,154.55, 19,532.74 and 7,867.33 is: 10,856.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,154.55 : 19,532.74 = 7,867.33 : x
  2. Step 2: Convert to fraction form
    14,154.55/19,532.74 = 7,867.33/x
  3. Step 3: Cross multiply
    14,154.55x = 19,532.74 × 7,867.33
  4. Step 4: Simplify right side
    14,154.55x = 153,670,511.38
  5. Step 5: Solve for x
    x = 153,670,511.38/14,154.55
  6. Step 6: Final answer
    x = 10,856.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.