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Finding the Fourth Proportional to 18,592, 25,657.58 and 10,208.50

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Solution

The fourth proportional to 18,592, 25,657.58 and 10,208.50 is: 14,088.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,592 : 25,657.58 = 10,208.50 : x
  2. Step 2: Convert to fraction form
    18,592/25,657.58 = 10,208.50/x
  3. Step 3: Cross multiply
    18,592x = 25,657.58 × 10,208.50
  4. Step 4: Simplify right side
    18,592x = 261,925,405.43
  5. Step 5: Solve for x
    x = 261,925,405.43/18,592
  6. Step 6: Final answer
    x = 14,088.07

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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.