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Finding the Fourth Proportional to 15,384.80, 23,072.04 and 4,994

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Solution

The fourth proportional to 15,384.80, 23,072.04 and 4,994 is: 7,489.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,384.80 : 23,072.04 = 4,994 : x
  2. Step 2: Convert to fraction form
    15,384.80/23,072.04 = 4,994/x
  3. Step 3: Cross multiply
    15,384.80x = 23,072.04 × 4,994
  4. Step 4: Simplify right side
    15,384.80x = 115,221,767.76
  5. Step 5: Solve for x
    x = 115,221,767.76/15,384.80
  6. Step 6: Final answer
    x = 7,489.33

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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.