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Finding the Fourth Proportional to 14,233.60, 19,649.52 and 9,765.60

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Solution

The fourth proportional to 14,233.60, 19,649.52 and 9,765.60 is: 13,481.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,233.60 : 19,649.52 = 9,765.60 : x
  2. Step 2: Convert to fraction form
    14,233.60/19,649.52 = 9,765.60/x
  3. Step 3: Cross multiply
    14,233.60x = 19,649.52 × 9,765.60
  4. Step 4: Simplify right side
    14,233.60x = 191,889,352.51
  5. Step 5: Solve for x
    x = 191,889,352.51/14,233.60
  6. Step 6: Final answer
    x = 13,481.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.