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Finding the Fourth Proportional to 22,095.36, 30,483.84 and 12,657.12

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Solution

The fourth proportional to 22,095.36, 30,483.84 and 12,657.12 is: 17,462.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,095.36 : 30,483.84 = 12,657.12 : x
  2. Step 2: Convert to fraction form
    22,095.36/30,483.84 = 12,657.12/x
  3. Step 3: Cross multiply
    22,095.36x = 30,483.84 × 12,657.12
  4. Step 4: Simplify right side
    22,095.36x = 385,837,620.94
  5. Step 5: Solve for x
    x = 385,837,620.94/22,095.36
  6. Step 6: Final answer
    x = 17,462.38

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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.