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Finding the Fourth Proportional to 22,548.79, 33,804.94 and 9,411

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Solution

The fourth proportional to 22,548.79, 33,804.94 and 9,411 is: 14,108.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,548.79 : 33,804.94 = 9,411 : x
  2. Step 2: Convert to fraction form
    22,548.79/33,804.94 = 9,411/x
  3. Step 3: Cross multiply
    22,548.79x = 33,804.94 × 9,411
  4. Step 4: Simplify right side
    22,548.79x = 318,138,290.34
  5. Step 5: Solve for x
    x = 318,138,290.34/22,548.79
  6. Step 6: Final answer
    x = 14,108.89

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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.