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Finding the Fourth Proportional to 19,122, 26,389.71 and 10,738.50

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Solution

The fourth proportional to 19,122, 26,389.71 and 10,738.50 is: 14,819.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,122 : 26,389.71 = 10,738.50 : x
  2. Step 2: Convert to fraction form
    19,122/26,389.71 = 10,738.50/x
  3. Step 3: Cross multiply
    19,122x = 26,389.71 × 10,738.50
  4. Step 4: Simplify right side
    19,122x = 283,385,900.84
  5. Step 5: Solve for x
    x = 283,385,900.84/19,122
  6. Step 6: Final answer
    x = 14,819.89

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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.