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Finding the Fourth Proportional to 19,818.16, 27,343.20 and 11,320

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Solution

The fourth proportional to 19,818.16, 27,343.20 and 11,320 is: 15,618.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,818.16 : 27,343.20 = 11,320 : x
  2. Step 2: Convert to fraction form
    19,818.16/27,343.20 = 11,320/x
  3. Step 3: Cross multiply
    19,818.16x = 27,343.20 × 11,320
  4. Step 4: Simplify right side
    19,818.16x = 309,525,024
  5. Step 5: Solve for x
    x = 309,525,024/19,818.16
  6. Step 6: Final answer
    x = 15,618.25

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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.