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Finding the Fourth Proportional to 19,291.50, 26,604 and 12,582.27

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Solution

The fourth proportional to 19,291.50, 26,604 and 12,582.27 is: 17,351.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,291.50 : 26,604 = 12,582.27 : x
  2. Step 2: Convert to fraction form
    19,291.50/26,604 = 12,582.27/x
  3. Step 3: Cross multiply
    19,291.50x = 26,604 × 12,582.27
  4. Step 4: Simplify right side
    19,291.50x = 334,738,711.08
  5. Step 5: Solve for x
    x = 334,738,711.08/19,291.50
  6. Step 6: Final answer
    x = 17,351.62

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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.