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Finding the Fourth Proportional to 14,636, 20,162.04 and 11,095.76

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Solution

The fourth proportional to 14,636, 20,162.04 and 11,095.76 is: 15,285.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,636 : 20,162.04 = 11,095.76 : x
  2. Step 2: Convert to fraction form
    14,636/20,162.04 = 11,095.76/x
  3. Step 3: Cross multiply
    14,636x = 20,162.04 × 11,095.76
  4. Step 4: Simplify right side
    14,636x = 223,713,156.95
  5. Step 5: Solve for x
    x = 223,713,156.95/14,636
  6. Step 6: Final answer
    x = 15,285.13

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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.