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Finding the Fourth Proportional to 14,140.08, 19,512.97 and 7,852.46

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Solution

The fourth proportional to 14,140.08, 19,512.97 and 7,852.46 is: 10,836.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,140.08 : 19,512.97 = 7,852.46 : x
  2. Step 2: Convert to fraction form
    14,140.08/19,512.97 = 7,852.46/x
  3. Step 3: Cross multiply
    14,140.08x = 19,512.97 × 7,852.46
  4. Step 4: Simplify right side
    14,140.08x = 153,224,699.21
  5. Step 5: Solve for x
    x = 153,224,699.21/14,140.08
  6. Step 6: Final answer
    x = 10,836.20

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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.