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Finding the Fourth Proportional to 11,220.64, 15,475.38 and 9,873.34

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Solution

The fourth proportional to 11,220.64, 15,475.38 and 9,873.34 is: 13,617.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,220.64 : 15,475.38 = 9,873.34 : x
  2. Step 2: Convert to fraction form
    11,220.64/15,475.38 = 9,873.34/x
  3. Step 3: Cross multiply
    11,220.64x = 15,475.38 × 9,873.34
  4. Step 4: Simplify right side
    11,220.64x = 152,793,688.37
  5. Step 5: Solve for x
    x = 152,793,688.37/11,220.64
  6. Step 6: Final answer
    x = 13,617.20

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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.