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Finding the Fourth Proportional to 14,097.62, 19,455.41 and 7,810.02

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Solution

The fourth proportional to 14,097.62, 19,455.41 and 7,810.02 is: 10,778.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,097.62 : 19,455.41 = 7,810.02 : x
  2. Step 2: Convert to fraction form
    14,097.62/19,455.41 = 7,810.02/x
  3. Step 3: Cross multiply
    14,097.62x = 19,455.41 × 7,810.02
  4. Step 4: Simplify right side
    14,097.62x = 151,947,141.21
  5. Step 5: Solve for x
    x = 151,947,141.21/14,097.62
  6. Step 6: Final answer
    x = 10,778.21

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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.