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Finding the Fourth Proportional to 22,765.04, 34,101.48 and 11,798

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Solution

The fourth proportional to 22,765.04, 34,101.48 and 11,798 is: 17,673.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,765.04 : 34,101.48 = 11,798 : x
  2. Step 2: Convert to fraction form
    22,765.04/34,101.48 = 11,798/x
  3. Step 3: Cross multiply
    22,765.04x = 34,101.48 × 11,798
  4. Step 4: Simplify right side
    22,765.04x = 402,329,261.04
  5. Step 5: Solve for x
    x = 402,329,261.04/22,765.04
  6. Step 6: Final answer
    x = 17,673.12

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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.