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Finding the Fourth Proportional to 12,509.58, 17,243.37 and 9,852.78

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Solution

The fourth proportional to 12,509.58, 17,243.37 and 9,852.78 is: 13,581.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.58 : 17,243.37 = 9,852.78 : x
  2. Step 2: Convert to fraction form
    12,509.58/17,243.37 = 9,852.78/x
  3. Step 3: Cross multiply
    12,509.58x = 17,243.37 × 9,852.78
  4. Step 4: Simplify right side
    12,509.58x = 169,895,131.07
  5. Step 5: Solve for x
    x = 169,895,131.07/12,509.58
  6. Step 6: Final answer
    x = 13,581.20

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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.