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Finding the Fourth Proportional to 19,507.49, 26,911.49 and 12,429.50

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Solution

The fourth proportional to 19,507.49, 26,911.49 and 12,429.50 is: 17,147.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,507.49 : 26,911.49 = 12,429.50 : x
  2. Step 2: Convert to fraction form
    19,507.49/26,911.49 = 12,429.50/x
  3. Step 3: Cross multiply
    19,507.49x = 26,911.49 × 12,429.50
  4. Step 4: Simplify right side
    19,507.49x = 334,496,463.31
  5. Step 5: Solve for x
    x = 334,496,463.31/19,507.49
  6. Step 6: Final answer
    x = 17,147.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.