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Finding the Fourth Proportional to 19,542.28, 26,968.28 and 10,590

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Solution

The fourth proportional to 19,542.28, 26,968.28 and 10,590 is: 14,614.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,542.28 : 26,968.28 = 10,590 : x
  2. Step 2: Convert to fraction form
    19,542.28/26,968.28 = 10,590/x
  3. Step 3: Cross multiply
    19,542.28x = 26,968.28 × 10,590
  4. Step 4: Simplify right side
    19,542.28x = 285,594,032.25
  5. Step 5: Solve for x
    x = 285,594,032.25/19,542.28
  6. Step 6: Final answer
    x = 14,614.16

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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.