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Finding the Fourth Proportional to 25,207, 37,785.45 and 12,044

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Solution

The fourth proportional to 25,207, 37,785.45 and 12,044 is: 18,054.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,207 : 37,785.45 = 12,044 : x
  2. Step 2: Convert to fraction form
    25,207/37,785.45 = 12,044/x
  3. Step 3: Cross multiply
    25,207x = 37,785.45 × 12,044
  4. Step 4: Simplify right side
    25,207x = 455,087,959.80
  5. Step 5: Solve for x
    x = 455,087,959.80/25,207
  6. Step 6: Final answer
    x = 18,054.03

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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.