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Finding the Fourth Proportional to 23,504.94, 32,437.38 and 12,894.74

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Solution

The fourth proportional to 23,504.94, 32,437.38 and 12,894.74 is: 17,795.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,504.94 : 32,437.38 = 12,894.74 : x
  2. Step 2: Convert to fraction form
    23,504.94/32,437.38 = 12,894.74/x
  3. Step 3: Cross multiply
    23,504.94x = 32,437.38 × 12,894.74
  4. Step 4: Simplify right side
    23,504.94x = 418,271,581.38
  5. Step 5: Solve for x
    x = 418,271,581.38/23,504.94
  6. Step 6: Final answer
    x = 17,795.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.