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Finding the Fourth Proportional to 14,097, 19,453.86 and 7,810.59

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Solution

The fourth proportional to 14,097, 19,453.86 and 7,810.59 is: 10,778.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,097 : 19,453.86 = 7,810.59 : x
  2. Step 2: Convert to fraction form
    14,097/19,453.86 = 7,810.59/x
  3. Step 3: Cross multiply
    14,097x = 19,453.86 × 7,810.59
  4. Step 4: Simplify right side
    14,097x = 151,946,124.38
  5. Step 5: Solve for x
    x = 151,946,124.38/14,097
  6. Step 6: Final answer
    x = 10,778.61

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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.