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Finding the Fourth Proportional to 18,746, 25,869.52 and 10,362.50

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Solution

The fourth proportional to 18,746, 25,869.52 and 10,362.50 is: 14,300.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,746 : 25,869.52 = 10,362.50 : x
  2. Step 2: Convert to fraction form
    18,746/25,869.52 = 10,362.50/x
  3. Step 3: Cross multiply
    18,746x = 25,869.52 × 10,362.50
  4. Step 4: Simplify right side
    18,746x = 268,072,901
  5. Step 5: Solve for x
    x = 268,072,901/18,746
  6. Step 6: Final answer
    x = 14,300.27

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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.