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Finding the Fourth Proportional to 20,152, 27,809.76 and 11,320

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Solution

The fourth proportional to 20,152, 27,809.76 and 11,320 is: 15,621.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,152 : 27,809.76 = 11,320 : x
  2. Step 2: Convert to fraction form
    20,152/27,809.76 = 11,320/x
  3. Step 3: Cross multiply
    20,152x = 27,809.76 × 11,320
  4. Step 4: Simplify right side
    20,152x = 314,806,483.20
  5. Step 5: Solve for x
    x = 314,806,483.20/20,152
  6. Step 6: Final answer
    x = 15,621.60

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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.