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Finding the Fourth Proportional to 19,548.90, 26,977.68 and 10,596.47

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Solution

The fourth proportional to 19,548.90, 26,977.68 and 10,596.47 is: 14,623.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,548.90 : 26,977.68 = 10,596.47 : x
  2. Step 2: Convert to fraction form
    19,548.90/26,977.68 = 10,596.47/x
  3. Step 3: Cross multiply
    19,548.90x = 26,977.68 × 10,596.47
  4. Step 4: Simplify right side
    19,548.90x = 285,868,041.90
  5. Step 5: Solve for x
    x = 285,868,041.90/19,548.90
  6. Step 6: Final answer
    x = 14,623.23

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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.