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Finding the Fourth Proportional to 19,153.68, 26,431.92 and 10,770

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Solution

The fourth proportional to 19,153.68, 26,431.92 and 10,770 is: 14,862.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,153.68 : 26,431.92 = 10,770 : x
  2. Step 2: Convert to fraction form
    19,153.68/26,431.92 = 10,770/x
  3. Step 3: Cross multiply
    19,153.68x = 26,431.92 × 10,770
  4. Step 4: Simplify right side
    19,153.68x = 284,671,778.40
  5. Step 5: Solve for x
    x = 284,671,778.40/19,153.68
  6. Step 6: Final answer
    x = 14,862.51

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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.