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Finding the Fourth Proportional to 23,335.68, 35,004 and 13,013.12

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Solution

The fourth proportional to 23,335.68, 35,004 and 13,013.12 is: 19,519.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,335.68 : 35,004 = 13,013.12 : x
  2. Step 2: Convert to fraction form
    23,335.68/35,004 = 13,013.12/x
  3. Step 3: Cross multiply
    23,335.68x = 35,004 × 13,013.12
  4. Step 4: Simplify right side
    23,335.68x = 455,511,252.48
  5. Step 5: Solve for x
    x = 455,511,252.48/23,335.68
  6. Step 6: Final answer
    x = 19,519.95

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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.