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Finding the Fourth Proportional to 18,552, 27,829.62 and 4,701

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Solution

The fourth proportional to 18,552, 27,829.62 and 4,701 is: 7,051.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,552 : 27,829.62 = 4,701 : x
  2. Step 2: Convert to fraction form
    18,552/27,829.62 = 4,701/x
  3. Step 3: Cross multiply
    18,552x = 27,829.62 × 4,701
  4. Step 4: Simplify right side
    18,552x = 130,827,043.62
  5. Step 5: Solve for x
    x = 130,827,043.62/18,552
  6. Step 6: Final answer
    x = 7,051.91

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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.