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Finding the Fourth Proportional to 19,590.40, 29,390.46 and 9,190

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Solution

The fourth proportional to 19,590.40, 29,390.46 and 9,190 is: 13,787.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,590.40 : 29,390.46 = 9,190 : x
  2. Step 2: Convert to fraction form
    19,590.40/29,390.46 = 9,190/x
  3. Step 3: Cross multiply
    19,590.40x = 29,390.46 × 9,190
  4. Step 4: Simplify right side
    19,590.40x = 270,098,327.40
  5. Step 5: Solve for x
    x = 270,098,327.40/19,590.40
  6. Step 6: Final answer
    x = 13,787.28

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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.