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Finding the Fourth Proportional to 27,925.04, 41,893.70 and 9,204.32

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Solution

The fourth proportional to 27,925.04, 41,893.70 and 9,204.32 is: 13,808.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,925.04 : 41,893.70 = 9,204.32 : x
  2. Step 2: Convert to fraction form
    27,925.04/41,893.70 = 9,204.32/x
  3. Step 3: Cross multiply
    27,925.04x = 41,893.70 × 9,204.32
  4. Step 4: Simplify right side
    27,925.04x = 385,603,020.78
  5. Step 5: Solve for x
    x = 385,603,020.78/27,925.04
  6. Step 6: Final answer
    x = 13,808.50

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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.