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Finding the Fourth Proportional to 21,142.40, 31,698.59 and 10,604.84

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Solution

The fourth proportional to 21,142.40, 31,698.59 and 10,604.84 is: 15,899.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,142.40 : 31,698.59 = 10,604.84 : x
  2. Step 2: Convert to fraction form
    21,142.40/31,698.59 = 10,604.84/x
  3. Step 3: Cross multiply
    21,142.40x = 31,698.59 × 10,604.84
  4. Step 4: Simplify right side
    21,142.40x = 336,158,263.66
  5. Step 5: Solve for x
    x = 336,158,263.66/21,142.40
  6. Step 6: Final answer
    x = 15,899.72

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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.