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Finding the Fourth Proportional to 25,209, 37,788.45 and 12,046

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Solution

The fourth proportional to 25,209, 37,788.45 and 12,046 is: 18,057.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,209 : 37,788.45 = 12,046 : x
  2. Step 2: Convert to fraction form
    25,209/37,788.45 = 12,046/x
  3. Step 3: Cross multiply
    25,209x = 37,788.45 × 12,046
  4. Step 4: Simplify right side
    25,209x = 455,199,668.70
  5. Step 5: Solve for x
    x = 455,199,668.70/25,209
  6. Step 6: Final answer
    x = 18,057.03

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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.