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Finding the Fourth Proportional to 14,886, 20,542.76 and 8,262

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Solution

The fourth proportional to 14,886, 20,542.76 and 8,262 is: 11,401.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,886 : 20,542.76 = 8,262 : x
  2. Step 2: Convert to fraction form
    14,886/20,542.76 = 8,262/x
  3. Step 3: Cross multiply
    14,886x = 20,542.76 × 8,262
  4. Step 4: Simplify right side
    14,886x = 169,724,283.12
  5. Step 5: Solve for x
    x = 169,724,283.12/14,886
  6. Step 6: Final answer
    x = 11,401.60

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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.