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Finding the Fourth Proportional to 18,509.68, 25,543.56 and 10,126

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Solution

The fourth proportional to 18,509.68, 25,543.56 and 10,126 is: 13,973.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,509.68 : 25,543.56 = 10,126 : x
  2. Step 2: Convert to fraction form
    18,509.68/25,543.56 = 10,126/x
  3. Step 3: Cross multiply
    18,509.68x = 25,543.56 × 10,126
  4. Step 4: Simplify right side
    18,509.68x = 258,654,088.56
  5. Step 5: Solve for x
    x = 258,654,088.56/18,509.68
  6. Step 6: Final answer
    x = 13,973.99

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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.