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Finding the Fourth Proportional to 17,681.44, 26,522 and 4,533.60

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Solution

The fourth proportional to 17,681.44, 26,522 and 4,533.60 is: 6,800.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,681.44 : 26,522 = 4,533.60 : x
  2. Step 2: Convert to fraction form
    17,681.44/26,522 = 4,533.60/x
  3. Step 3: Cross multiply
    17,681.44x = 26,522 × 4,533.60
  4. Step 4: Simplify right side
    17,681.44x = 120,240,139.20
  5. Step 5: Solve for x
    x = 120,240,139.20/17,681.44
  6. Step 6: Final answer
    x = 6,800.36

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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.