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Finding the Fourth Proportional to 12,852.56, 19,281.74 and 4,533.18

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Solution

The fourth proportional to 12,852.56, 19,281.74 and 4,533.18 is: 6,800.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,852.56 : 19,281.74 = 4,533.18 : x
  2. Step 2: Convert to fraction form
    12,852.56/19,281.74 = 4,533.18/x
  3. Step 3: Cross multiply
    12,852.56x = 19,281.74 × 4,533.18
  4. Step 4: Simplify right side
    12,852.56x = 87,407,575.47
  5. Step 5: Solve for x
    x = 87,407,575.47/12,852.56
  6. Step 6: Final answer
    x = 6,800.79

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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.