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Finding the Fourth Proportional to 19,124, 26,391.13 and 10,740.50

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Solution

The fourth proportional to 19,124, 26,391.13 and 10,740.50 is: 14,821.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,124 : 26,391.13 = 10,740.50 : x
  2. Step 2: Convert to fraction form
    19,124/26,391.13 = 10,740.50/x
  3. Step 3: Cross multiply
    19,124x = 26,391.13 × 10,740.50
  4. Step 4: Simplify right side
    19,124x = 283,453,931.77
  5. Step 5: Solve for x
    x = 283,453,931.77/19,124
  6. Step 6: Final answer
    x = 14,821.90

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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.