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Finding the Fourth Proportional to 18,117, 25,009.63 and 11,412.50

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Solution

The fourth proportional to 18,117, 25,009.63 and 11,412.50 is: 15,754.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,117 : 25,009.63 = 11,412.50 : x
  2. Step 2: Convert to fraction form
    18,117/25,009.63 = 11,412.50/x
  3. Step 3: Cross multiply
    18,117x = 25,009.63 × 11,412.50
  4. Step 4: Simplify right side
    18,117x = 285,422,248.80
  5. Step 5: Solve for x
    x = 285,422,248.80/18,117
  6. Step 6: Final answer
    x = 15,754.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.