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Finding the Fourth Proportional to 17,477.80, 26,165.16 and 11,543.80

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Solution

The fourth proportional to 17,477.80, 26,165.16 and 11,543.80 is: 17,281.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,477.80 : 26,165.16 = 11,543.80 : x
  2. Step 2: Convert to fraction form
    17,477.80/26,165.16 = 11,543.80/x
  3. Step 3: Cross multiply
    17,477.80x = 26,165.16 × 11,543.80
  4. Step 4: Simplify right side
    17,477.80x = 302,045,374.01
  5. Step 5: Solve for x
    x = 302,045,374.01/17,477.80
  6. Step 6: Final answer
    x = 17,281.66

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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.