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Finding the Fourth Proportional to 23,886.47, 35,844.10 and 8,315.03

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Solution

The fourth proportional to 23,886.47, 35,844.10 and 8,315.03 is: 12,477.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,886.47 : 35,844.10 = 8,315.03 : x
  2. Step 2: Convert to fraction form
    23,886.47/35,844.10 = 8,315.03/x
  3. Step 3: Cross multiply
    23,886.47x = 35,844.10 × 8,315.03
  4. Step 4: Simplify right side
    23,886.47x = 298,044,566.81
  5. Step 5: Solve for x
    x = 298,044,566.81/23,886.47
  6. Step 6: Final answer
    x = 12,477.55

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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.