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Finding the Fourth Proportional to 12,810.34, 19,215.93 and 4,496.14

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Solution

The fourth proportional to 12,810.34, 19,215.93 and 4,496.14 is: 6,744.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,810.34 : 19,215.93 = 4,496.14 : x
  2. Step 2: Convert to fraction form
    12,810.34/19,215.93 = 4,496.14/x
  3. Step 3: Cross multiply
    12,810.34x = 19,215.93 × 4,496.14
  4. Step 4: Simplify right side
    12,810.34x = 86,397,552.39
  5. Step 5: Solve for x
    x = 86,397,552.39/12,810.34
  6. Step 6: Final answer
    x = 6,744.36

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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.