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Finding the Fourth Proportional to 13,415.56, 18,513.61 and 7,365.40

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Solution

The fourth proportional to 13,415.56, 18,513.61 and 7,365.40 is: 10,164.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,415.56 : 18,513.61 = 7,365.40 : x
  2. Step 2: Convert to fraction form
    13,415.56/18,513.61 = 7,365.40/x
  3. Step 3: Cross multiply
    13,415.56x = 18,513.61 × 7,365.40
  4. Step 4: Simplify right side
    13,415.56x = 136,360,078.40
  5. Step 5: Solve for x
    x = 136,360,078.40/13,415.56
  6. Step 6: Final answer
    x = 10,164.32

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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.