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Finding the Fourth Proportional to 13,101.66, 19,646.34 and 4,775.82

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Solution

The fourth proportional to 13,101.66, 19,646.34 and 4,775.82 is: 7,161.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,101.66 : 19,646.34 = 4,775.82 : x
  2. Step 2: Convert to fraction form
    13,101.66/19,646.34 = 4,775.82/x
  3. Step 3: Cross multiply
    13,101.66x = 19,646.34 × 4,775.82
  4. Step 4: Simplify right side
    13,101.66x = 93,827,383.50
  5. Step 5: Solve for x
    x = 93,827,383.50/13,101.66
  6. Step 6: Final answer
    x = 7,161.49

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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.