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Finding the Fourth Proportional to 19,416.50, 26,794.78 and 11,033

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Solution

The fourth proportional to 19,416.50, 26,794.78 and 11,033 is: 15,225.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,416.50 : 26,794.78 = 11,033 : x
  2. Step 2: Convert to fraction form
    19,416.50/26,794.78 = 11,033/x
  3. Step 3: Cross multiply
    19,416.50x = 26,794.78 × 11,033
  4. Step 4: Simplify right side
    19,416.50x = 295,626,807.74
  5. Step 5: Solve for x
    x = 295,626,807.74/19,416.50
  6. Step 6: Final answer
    x = 15,225.55

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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.