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Finding the Fourth Proportional to 13,395.39, 18,485.47 and 7,730.07

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Solution

The fourth proportional to 13,395.39, 18,485.47 and 7,730.07 is: 10,667.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,395.39 : 18,485.47 = 7,730.07 : x
  2. Step 2: Convert to fraction form
    13,395.39/18,485.47 = 7,730.07/x
  3. Step 3: Cross multiply
    13,395.39x = 18,485.47 × 7,730.07
  4. Step 4: Simplify right side
    13,395.39x = 142,893,977.08
  5. Step 5: Solve for x
    x = 142,893,977.08/13,395.39
  6. Step 6: Final answer
    x = 10,667.40

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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.