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Finding the Fourth Proportional to 23,886.41, 35,827.02 and 6,358.01

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Solution

The fourth proportional to 23,886.41, 35,827.02 and 6,358.01 is: 9,536.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,886.41 : 35,827.02 = 6,358.01 : x
  2. Step 2: Convert to fraction form
    23,886.41/35,827.02 = 6,358.01/x
  3. Step 3: Cross multiply
    23,886.41x = 35,827.02 × 6,358.01
  4. Step 4: Simplify right side
    23,886.41x = 227,788,372.30
  5. Step 5: Solve for x
    x = 227,788,372.30/23,886.41
  6. Step 6: Final answer
    x = 9,536.32

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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.