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Finding the Fourth Proportional to 19,301.90, 28,963.65 and 8,206.70

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Solution

The fourth proportional to 19,301.90, 28,963.65 and 8,206.70 is: 12,314.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,301.90 : 28,963.65 = 8,206.70 : x
  2. Step 2: Convert to fraction form
    19,301.90/28,963.65 = 8,206.70/x
  3. Step 3: Cross multiply
    19,301.90x = 28,963.65 × 8,206.70
  4. Step 4: Simplify right side
    19,301.90x = 237,695,986.46
  5. Step 5: Solve for x
    x = 237,695,986.46/19,301.90
  6. Step 6: Final answer
    x = 12,314.64

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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.