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Finding the Fourth Proportional to 15,984.26, 22,058.30 and 9,271.19

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Solution

The fourth proportional to 15,984.26, 22,058.30 and 9,271.19 is: 12,794.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,984.26 : 22,058.30 = 9,271.19 : x
  2. Step 2: Convert to fraction form
    15,984.26/22,058.30 = 9,271.19/x
  3. Step 3: Cross multiply
    15,984.26x = 22,058.30 × 9,271.19
  4. Step 4: Simplify right side
    15,984.26x = 204,506,690.38
  5. Step 5: Solve for x
    x = 204,506,690.38/15,984.26
  6. Step 6: Final answer
    x = 12,794.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.