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Finding the Fourth Proportional to 18,547.28, 27,820.94 and 4,696.28

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Solution

The fourth proportional to 18,547.28, 27,820.94 and 4,696.28 is: 7,044.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,547.28 : 27,820.94 = 4,696.28 : x
  2. Step 2: Convert to fraction form
    18,547.28/27,820.94 = 4,696.28/x
  3. Step 3: Cross multiply
    18,547.28x = 27,820.94 × 4,696.28
  4. Step 4: Simplify right side
    18,547.28x = 130,654,924.10
  5. Step 5: Solve for x
    x = 130,654,924.10/18,547.28
  6. Step 6: Final answer
    x = 7,044.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.