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Finding the Fourth Proportional to 19,189.40, 28,730.94 and 9,809.21

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Solution

The fourth proportional to 19,189.40, 28,730.94 and 9,809.21 is: 14,686.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,189.40 : 28,730.94 = 9,809.21 : x
  2. Step 2: Convert to fraction form
    19,189.40/28,730.94 = 9,809.21/x
  3. Step 3: Cross multiply
    19,189.40x = 28,730.94 × 9,809.21
  4. Step 4: Simplify right side
    19,189.40x = 281,827,859.00
  5. Step 5: Solve for x
    x = 281,827,859.00/19,189.40
  6. Step 6: Final answer
    x = 14,686.65

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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.