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Finding the Fourth Proportional to 15,696.74, 23,548.44 and 7,803.56

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Solution

The fourth proportional to 15,696.74, 23,548.44 and 7,803.56 is: 11,707.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,696.74 : 23,548.44 = 7,803.56 : x
  2. Step 2: Convert to fraction form
    15,696.74/23,548.44 = 7,803.56/x
  3. Step 3: Cross multiply
    15,696.74x = 23,548.44 × 7,803.56
  4. Step 4: Simplify right side
    15,696.74x = 183,761,664.45
  5. Step 5: Solve for x
    x = 183,761,664.45/15,696.74
  6. Step 6: Final answer
    x = 11,707.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.