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Finding the Fourth Proportional to 29,142.32, 43,710.84 and 11,607.44

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Solution

The fourth proportional to 29,142.32, 43,710.84 and 11,607.44 is: 17,410.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,142.32 : 43,710.84 = 11,607.44 : x
  2. Step 2: Convert to fraction form
    29,142.32/43,710.84 = 11,607.44/x
  3. Step 3: Cross multiply
    29,142.32x = 43,710.84 × 11,607.44
  4. Step 4: Simplify right side
    29,142.32x = 507,370,952.65
  5. Step 5: Solve for x
    x = 507,370,952.65/29,142.32
  6. Step 6: Final answer
    x = 17,410.11

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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.