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Finding the Fourth Proportional to 23,672.49, 35,504.54 and 7,875.93

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Solution

The fourth proportional to 23,672.49, 35,504.54 and 7,875.93 is: 11,812.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,672.49 : 35,504.54 = 7,875.93 : x
  2. Step 2: Convert to fraction form
    23,672.49/35,504.54 = 7,875.93/x
  3. Step 3: Cross multiply
    23,672.49x = 35,504.54 × 7,875.93
  4. Step 4: Simplify right side
    23,672.49x = 279,631,271.72
  5. Step 5: Solve for x
    x = 279,631,271.72/23,672.49
  6. Step 6: Final answer
    x = 11,812.50

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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.