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Finding the Fourth Proportional to 25,206.78, 37,814.28 and 7,672.50

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Solution

The fourth proportional to 25,206.78, 37,814.28 and 7,672.50 is: 11,510.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,206.78 : 37,814.28 = 7,672.50 : x
  2. Step 2: Convert to fraction form
    25,206.78/37,814.28 = 7,672.50/x
  3. Step 3: Cross multiply
    25,206.78x = 37,814.28 × 7,672.50
  4. Step 4: Simplify right side
    25,206.78x = 290,130,063.30
  5. Step 5: Solve for x
    x = 290,130,063.30/25,206.78
  6. Step 6: Final answer
    x = 11,510.00

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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.