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Finding the Fourth Proportional to 12,875.25, 19,316.25 and 3,641.25

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Solution

The fourth proportional to 12,875.25, 19,316.25 and 3,641.25 is: 5,462.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,875.25 : 19,316.25 = 3,641.25 : x
  2. Step 2: Convert to fraction form
    12,875.25/19,316.25 = 3,641.25/x
  3. Step 3: Cross multiply
    12,875.25x = 19,316.25 × 3,641.25
  4. Step 4: Simplify right side
    12,875.25x = 70,335,295.31
  5. Step 5: Solve for x
    x = 70,335,295.31/12,875.25
  6. Step 6: Final answer
    x = 5,462.83

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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.