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Finding the Fourth Proportional to 19,546.84, 29,312.34 and 6,215.28

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Solution

The fourth proportional to 19,546.84, 29,312.34 and 6,215.28 is: 9,320.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,546.84 : 29,312.34 = 6,215.28 : x
  2. Step 2: Convert to fraction form
    19,546.84/29,312.34 = 6,215.28/x
  3. Step 3: Cross multiply
    19,546.84x = 29,312.34 × 6,215.28
  4. Step 4: Simplify right side
    19,546.84x = 182,184,400.56
  5. Step 5: Solve for x
    x = 182,184,400.56/19,546.84
  6. Step 6: Final answer
    x = 9,320.40

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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.