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Finding the Fourth Proportional to 23,137.04, 34,724.64 and 12,047.04

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Solution

The fourth proportional to 23,137.04, 34,724.64 and 12,047.04 is: 18,080.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,137.04 : 34,724.64 = 12,047.04 : x
  2. Step 2: Convert to fraction form
    23,137.04/34,724.64 = 12,047.04/x
  3. Step 3: Cross multiply
    23,137.04x = 34,724.64 × 12,047.04
  4. Step 4: Simplify right side
    23,137.04x = 418,329,127.07
  5. Step 5: Solve for x
    x = 418,329,127.07/23,137.04
  6. Step 6: Final answer
    x = 18,080.49

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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.