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Finding the Fourth Proportional to 23,148, 34,726.32 and 10,836

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Solution

The fourth proportional to 23,148, 34,726.32 and 10,836 is: 16,256.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,148 : 34,726.32 = 10,836 : x
  2. Step 2: Convert to fraction form
    23,148/34,726.32 = 10,836/x
  3. Step 3: Cross multiply
    23,148x = 34,726.32 × 10,836
  4. Step 4: Simplify right side
    23,148x = 376,294,403.52
  5. Step 5: Solve for x
    x = 376,294,403.52/23,148
  6. Step 6: Final answer
    x = 16,256.02

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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.