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Finding the Fourth Proportional to 21,456.48, 29,609.70 and 12,024.84

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Solution

The fourth proportional to 21,456.48, 29,609.70 and 12,024.84 is: 16,594.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,456.48 : 29,609.70 = 12,024.84 : x
  2. Step 2: Convert to fraction form
    21,456.48/29,609.70 = 12,024.84/x
  3. Step 3: Cross multiply
    21,456.48x = 29,609.70 × 12,024.84
  4. Step 4: Simplify right side
    21,456.48x = 356,051,904.95
  5. Step 5: Solve for x
    x = 356,051,904.95/21,456.48
  6. Step 6: Final answer
    x = 16,594.14

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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.