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Finding the Fourth Proportional to 12,783.69, 19,169.04 and 5,852.25

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Solution

The fourth proportional to 12,783.69, 19,169.04 and 5,852.25 is: 8,775.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,783.69 : 19,169.04 = 5,852.25 : x
  2. Step 2: Convert to fraction form
    12,783.69/19,169.04 = 5,852.25/x
  3. Step 3: Cross multiply
    12,783.69x = 19,169.04 × 5,852.25
  4. Step 4: Simplify right side
    12,783.69x = 112,182,014.34
  5. Step 5: Solve for x
    x = 112,182,014.34/12,783.69
  6. Step 6: Final answer
    x = 8,775.40

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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.