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Finding the Fourth Proportional to 14,140.08, 19,513.96 and 7,852.48

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Solution

The fourth proportional to 14,140.08, 19,513.96 and 7,852.48 is: 10,836.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,140.08 : 19,513.96 = 7,852.48 : x
  2. Step 2: Convert to fraction form
    14,140.08/19,513.96 = 7,852.48/x
  3. Step 3: Cross multiply
    14,140.08x = 19,513.96 × 7,852.48
  4. Step 4: Simplify right side
    14,140.08x = 153,232,980.62
  5. Step 5: Solve for x
    x = 153,232,980.62/14,140.08
  6. Step 6: Final answer
    x = 10,836.78

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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.