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Finding the Fourth Proportional to 17,830.80, 26,762.64 and 9,072

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Solution

The fourth proportional to 17,830.80, 26,762.64 and 9,072 is: 13,616.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,830.80 : 26,762.64 = 9,072 : x
  2. Step 2: Convert to fraction form
    17,830.80/26,762.64 = 9,072/x
  3. Step 3: Cross multiply
    17,830.80x = 26,762.64 × 9,072
  4. Step 4: Simplify right side
    17,830.80x = 242,790,670.08
  5. Step 5: Solve for x
    x = 242,790,670.08/17,830.80
  6. Step 6: Final answer
    x = 13,616.36

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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.