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Finding the Fourth Proportional to 14,852.71, 22,277.19 and 4,856.62

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Solution

The fourth proportional to 14,852.71, 22,277.19 and 4,856.62 is: 7,284.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,852.71 : 22,277.19 = 4,856.62 : x
  2. Step 2: Convert to fraction form
    14,852.71/22,277.19 = 4,856.62/x
  3. Step 3: Cross multiply
    14,852.71x = 22,277.19 × 4,856.62
  4. Step 4: Simplify right side
    14,852.71x = 108,191,846.50
  5. Step 5: Solve for x
    x = 108,191,846.50/14,852.71
  6. Step 6: Final answer
    x = 7,284.32

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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.