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Finding the Fourth Proportional to 13,841.84, 19,110.93 and 10,649.51

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Solution

The fourth proportional to 13,841.84, 19,110.93 and 10,649.51 is: 14,703.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,841.84 : 19,110.93 = 10,649.51 : x
  2. Step 2: Convert to fraction form
    13,841.84/19,110.93 = 10,649.51/x
  3. Step 3: Cross multiply
    13,841.84x = 19,110.93 × 10,649.51
  4. Step 4: Simplify right side
    13,841.84x = 203,521,944.59
  5. Step 5: Solve for x
    x = 203,521,944.59/13,841.84
  6. Step 6: Final answer
    x = 14,703.39

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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.