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Finding the Fourth Proportional to 18,383, 27,574.59 and 4,532

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Solution

The fourth proportional to 18,383, 27,574.59 and 4,532 is: 6,798.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,383 : 27,574.59 = 4,532 : x
  2. Step 2: Convert to fraction form
    18,383/27,574.59 = 4,532/x
  3. Step 3: Cross multiply
    18,383x = 27,574.59 × 4,532
  4. Step 4: Simplify right side
    18,383x = 124,968,041.88
  5. Step 5: Solve for x
    x = 124,968,041.88/18,383
  6. Step 6: Final answer
    x = 6,798.02

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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.