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Finding the Fourth Proportional to 15,841, 23,761.50 and 4,897

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Solution

The fourth proportional to 15,841, 23,761.50 and 4,897 is: 7,345.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,841 : 23,761.50 = 4,897 : x
  2. Step 2: Convert to fraction form
    15,841/23,761.50 = 4,897/x
  3. Step 3: Cross multiply
    15,841x = 23,761.50 × 4,897
  4. Step 4: Simplify right side
    15,841x = 116,360,065.50
  5. Step 5: Solve for x
    x = 116,360,065.50/15,841
  6. Step 6: Final answer
    x = 7,345.50

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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.