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Finding the Fourth Proportional to 27,095.38, 40,643.07 and 9,554.02

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Solution

The fourth proportional to 27,095.38, 40,643.07 and 9,554.02 is: 14,331.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,095.38 : 40,643.07 = 9,554.02 : x
  2. Step 2: Convert to fraction form
    27,095.38/40,643.07 = 9,554.02/x
  3. Step 3: Cross multiply
    27,095.38x = 40,643.07 × 9,554.02
  4. Step 4: Simplify right side
    27,095.38x = 388,304,703.64
  5. Step 5: Solve for x
    x = 388,304,703.64/27,095.38
  6. Step 6: Final answer
    x = 14,331.03

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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.