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Finding the Fourth Proportional to 13,254.24, 19,881.36 and 7,407.66

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Solution

The fourth proportional to 13,254.24, 19,881.36 and 7,407.66 is: 11,111.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,254.24 : 19,881.36 = 7,407.66 : x
  2. Step 2: Convert to fraction form
    13,254.24/19,881.36 = 7,407.66/x
  3. Step 3: Cross multiply
    13,254.24x = 19,881.36 × 7,407.66
  4. Step 4: Simplify right side
    13,254.24x = 147,274,355.22
  5. Step 5: Solve for x
    x = 147,274,355.22/13,254.24
  6. Step 6: Final answer
    x = 11,111.49

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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.