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Finding the Fourth Proportional to 42,384, 63,587.34 and 14,682

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Solution

The fourth proportional to 42,384, 63,587.34 and 14,682 is: 22,026.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,384 : 63,587.34 = 14,682 : x
  2. Step 2: Convert to fraction form
    42,384/63,587.34 = 14,682/x
  3. Step 3: Cross multiply
    42,384x = 63,587.34 × 14,682
  4. Step 4: Simplify right side
    42,384x = 933,589,325.88
  5. Step 5: Solve for x
    x = 933,589,325.88/42,384
  6. Step 6: Final answer
    x = 22,026.93

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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.