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Finding the Fourth Proportional to 19,612.16, 29,390.16 and 15,209

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Solution

The fourth proportional to 19,612.16, 29,390.16 and 15,209 is: 22,791.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,612.16 : 29,390.16 = 15,209 : x
  2. Step 2: Convert to fraction form
    19,612.16/29,390.16 = 15,209/x
  3. Step 3: Cross multiply
    19,612.16x = 29,390.16 × 15,209
  4. Step 4: Simplify right side
    19,612.16x = 446,994,943.44
  5. Step 5: Solve for x
    x = 446,994,943.44/19,612.16
  6. Step 6: Final answer
    x = 22,791.72

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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.