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Finding the Fourth Proportional to 21,409.25, 29,573.00 and 16,434.93

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Solution

The fourth proportional to 21,409.25, 29,573.00 and 16,434.93 is: 22,701.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,409.25 : 29,573.00 = 16,434.93 : x
  2. Step 2: Convert to fraction form
    21,409.25/29,573.00 = 16,434.93/x
  3. Step 3: Cross multiply
    21,409.25x = 29,573.00 × 16,434.93
  4. Step 4: Simplify right side
    21,409.25x = 486,030,102.72
  5. Step 5: Solve for x
    x = 486,030,102.72/21,409.25
  6. Step 6: Final answer
    x = 22,701.88

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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.