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Finding the Fourth Proportional to 13,533.32, 18,675.21 and 7,483.20

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Solution

The fourth proportional to 13,533.32, 18,675.21 and 7,483.20 is: 10,326.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,533.32 : 18,675.21 = 7,483.20 : x
  2. Step 2: Convert to fraction form
    13,533.32/18,675.21 = 7,483.20/x
  3. Step 3: Cross multiply
    13,533.32x = 18,675.21 × 7,483.20
  4. Step 4: Simplify right side
    13,533.32x = 139,750,331.47
  5. Step 5: Solve for x
    x = 139,750,331.47/13,533.32
  6. Step 6: Final answer
    x = 10,326.39

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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.