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Finding the Fourth Proportional to 25,210, 37,789.95 and 12,047

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Solution

The fourth proportional to 25,210, 37,789.95 and 12,047 is: 18,058.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,210 : 37,789.95 = 12,047 : x
  2. Step 2: Convert to fraction form
    25,210/37,789.95 = 12,047/x
  3. Step 3: Cross multiply
    25,210x = 37,789.95 × 12,047
  4. Step 4: Simplify right side
    25,210x = 455,255,527.65
  5. Step 5: Solve for x
    x = 455,255,527.65/25,210
  6. Step 6: Final answer
    x = 18,058.53

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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.