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Finding the Fourth Proportional to 25,206, 37,810.56 and 7,677.12

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Solution

The fourth proportional to 25,206, 37,810.56 and 7,677.12 is: 11,516.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,206 : 37,810.56 = 7,677.12 : x
  2. Step 2: Convert to fraction form
    25,206/37,810.56 = 7,677.12/x
  3. Step 3: Cross multiply
    25,206x = 37,810.56 × 7,677.12
  4. Step 4: Simplify right side
    25,206x = 290,276,206.39
  5. Step 5: Solve for x
    x = 290,276,206.39/25,206
  6. Step 6: Final answer
    x = 11,516.16

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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.