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Finding the Fourth Proportional to 21,158.96, 31,696.12 and 10,076.40

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Solution

The fourth proportional to 21,158.96, 31,696.12 and 10,076.40 is: 15,094.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,158.96 : 31,696.12 = 10,076.40 : x
  2. Step 2: Convert to fraction form
    21,158.96/31,696.12 = 10,076.40/x
  3. Step 3: Cross multiply
    21,158.96x = 31,696.12 × 10,076.40
  4. Step 4: Simplify right side
    21,158.96x = 319,382,783.57
  5. Step 5: Solve for x
    x = 319,382,783.57/21,158.96
  6. Step 6: Final answer
    x = 15,094.45

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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.