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Finding the Fourth Proportional to 22,104.77, 30,503.65 and 12,033

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Solution

The fourth proportional to 22,104.77, 30,503.65 and 12,033 is: 16,605.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,104.77 : 30,503.65 = 12,033 : x
  2. Step 2: Convert to fraction form
    22,104.77/30,503.65 = 12,033/x
  3. Step 3: Cross multiply
    22,104.77x = 30,503.65 × 12,033
  4. Step 4: Simplify right side
    22,104.77x = 367,050,390.37
  5. Step 5: Solve for x
    x = 367,050,390.37/22,104.77
  6. Step 6: Final answer
    x = 16,605.03

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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.