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Finding the Fourth Proportional to 21,657.34, 32,498.97 and 12,429.82

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Solution

The fourth proportional to 21,657.34, 32,498.97 and 12,429.82 is: 18,652.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,657.34 : 32,498.97 = 12,429.82 : x
  2. Step 2: Convert to fraction form
    21,657.34/32,498.97 = 12,429.82/x
  3. Step 3: Cross multiply
    21,657.34x = 32,498.97 × 12,429.82
  4. Step 4: Simplify right side
    21,657.34x = 403,956,347.29
  5. Step 5: Solve for x
    x = 403,956,347.29/21,657.34
  6. Step 6: Final answer
    x = 18,652.17

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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.