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Finding the Fourth Proportional to 14,838.51, 20,493.86 and 10,114.59

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Solution

The fourth proportional to 14,838.51, 20,493.86 and 10,114.59 is: 13,969.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,838.51 : 20,493.86 = 10,114.59 : x
  2. Step 2: Convert to fraction form
    14,838.51/20,493.86 = 10,114.59/x
  3. Step 3: Cross multiply
    14,838.51x = 20,493.86 × 10,114.59
  4. Step 4: Simplify right side
    14,838.51x = 207,286,940.84
  5. Step 5: Solve for x
    x = 207,286,940.84/14,838.51
  6. Step 6: Final answer
    x = 13,969.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.