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Finding the Fourth Proportional to 13,152.48, 19,694.16 and 9,235.68

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Solution

The fourth proportional to 13,152.48, 19,694.16 and 9,235.68 is: 13,829.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,152.48 : 19,694.16 = 9,235.68 : x
  2. Step 2: Convert to fraction form
    13,152.48/19,694.16 = 9,235.68/x
  3. Step 3: Cross multiply
    13,152.48x = 19,694.16 × 9,235.68
  4. Step 4: Simplify right side
    13,152.48x = 181,888,959.63
  5. Step 5: Solve for x
    x = 181,888,959.63/13,152.48
  6. Step 6: Final answer
    x = 13,829.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.