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Finding the Fourth Proportional to 21,158.16, 31,698 and 10,615.80

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Solution

The fourth proportional to 21,158.16, 31,698 and 10,615.80 is: 15,904.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,158.16 : 31,698 = 10,615.80 : x
  2. Step 2: Convert to fraction form
    21,158.16/31,698 = 10,615.80/x
  3. Step 3: Cross multiply
    21,158.16x = 31,698 × 10,615.80
  4. Step 4: Simplify right side
    21,158.16x = 336,499,628.40
  5. Step 5: Solve for x
    x = 336,499,628.40/21,158.16
  6. Step 6: Final answer
    x = 15,904.01

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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.