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Finding the Fourth Proportional to 29,357.32, 40,511.82 and 16,782.88

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Solution

The fourth proportional to 29,357.32, 40,511.82 and 16,782.88 is: 23,159.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,357.32 : 40,511.82 = 16,782.88 : x
  2. Step 2: Convert to fraction form
    29,357.32/40,511.82 = 16,782.88/x
  3. Step 3: Cross multiply
    29,357.32x = 40,511.82 × 16,782.88
  4. Step 4: Simplify right side
    29,357.32x = 679,905,013.64
  5. Step 5: Solve for x
    x = 679,905,013.64/29,357.32
  6. Step 6: Final answer
    x = 23,159.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.