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Finding the Fourth Proportional to 12,870.34, 19,308.84 and 3,636.34

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Solution

The fourth proportional to 12,870.34, 19,308.84 and 3,636.34 is: 5,455.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,870.34 : 19,308.84 = 3,636.34 : x
  2. Step 2: Convert to fraction form
    12,870.34/19,308.84 = 3,636.34/x
  3. Step 3: Cross multiply
    12,870.34x = 19,308.84 × 3,636.34
  4. Step 4: Simplify right side
    12,870.34x = 70,213,507.25
  5. Step 5: Solve for x
    x = 70,213,507.25/12,870.34
  6. Step 6: Final answer
    x = 5,455.45

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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.