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Finding the Fourth Proportional to 13,365.18, 20,047.76 and 9,201

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Solution

The fourth proportional to 13,365.18, 20,047.76 and 9,201 is: 13,801.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,365.18 : 20,047.76 = 9,201 : x
  2. Step 2: Convert to fraction form
    13,365.18/20,047.76 = 9,201/x
  3. Step 3: Cross multiply
    13,365.18x = 20,047.76 × 9,201
  4. Step 4: Simplify right side
    13,365.18x = 184,459,439.76
  5. Step 5: Solve for x
    x = 184,459,439.76/13,365.18
  6. Step 6: Final answer
    x = 13,801.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.