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Finding the Fourth Proportional to 25,491, 38,236.50 and 7,023

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Solution

The fourth proportional to 25,491, 38,236.50 and 7,023 is: 10,534.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,491 : 38,236.50 = 7,023 : x
  2. Step 2: Convert to fraction form
    25,491/38,236.50 = 7,023/x
  3. Step 3: Cross multiply
    25,491x = 38,236.50 × 7,023
  4. Step 4: Simplify right side
    25,491x = 268,534,939.50
  5. Step 5: Solve for x
    x = 268,534,939.50/25,491
  6. Step 6: Final answer
    x = 10,534.50

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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.