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Finding the Fourth Proportional to 19,336, 26,683.84 and 10,504

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Solution

The fourth proportional to 19,336, 26,683.84 and 10,504 is: 14,495.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,336 : 26,683.84 = 10,504 : x
  2. Step 2: Convert to fraction form
    19,336/26,683.84 = 10,504/x
  3. Step 3: Cross multiply
    19,336x = 26,683.84 × 10,504
  4. Step 4: Simplify right side
    19,336x = 280,287,055.36
  5. Step 5: Solve for x
    x = 280,287,055.36/19,336
  6. Step 6: Final answer
    x = 14,495.61

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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.