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Finding the Fourth Proportional to 13,009.56, 19,403.08 and 11,048

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Solution

The fourth proportional to 13,009.56, 19,403.08 and 11,048 is: 16,477.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009.56 : 19,403.08 = 11,048 : x
  2. Step 2: Convert to fraction form
    13,009.56/19,403.08 = 11,048/x
  3. Step 3: Cross multiply
    13,009.56x = 19,403.08 × 11,048
  4. Step 4: Simplify right side
    13,009.56x = 214,365,227.84
  5. Step 5: Solve for x
    x = 214,365,227.84/13,009.56
  6. Step 6: Final answer
    x = 16,477.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.