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Finding the Fourth Proportional to 13,710.16, 18,945.60 and 10,346.96

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Solution

The fourth proportional to 13,710.16, 18,945.60 and 10,346.96 is: 14,298.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710.16 : 18,945.60 = 10,346.96 : x
  2. Step 2: Convert to fraction form
    13,710.16/18,945.60 = 10,346.96/x
  3. Step 3: Cross multiply
    13,710.16x = 18,945.60 × 10,346.96
  4. Step 4: Simplify right side
    13,710.16x = 196,029,365.38
  5. Step 5: Solve for x
    x = 196,029,365.38/13,710.16
  6. Step 6: Final answer
    x = 14,298.11

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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.