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Finding the Fourth Proportional to 29,587, 40,829.86 and 16,158.26

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Solution

The fourth proportional to 29,587, 40,829.86 and 16,158.26 is: 22,298.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,587 : 40,829.86 = 16,158.26 : x
  2. Step 2: Convert to fraction form
    29,587/40,829.86 = 16,158.26/x
  3. Step 3: Cross multiply
    29,587x = 40,829.86 × 16,158.26
  4. Step 4: Simplify right side
    29,587x = 659,739,493.64
  5. Step 5: Solve for x
    x = 659,739,493.64/29,587
  6. Step 6: Final answer
    x = 22,298.29

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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.