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Finding the Fourth Proportional to 15,875.98, 23,805.47 and 5,342.50

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Solution

The fourth proportional to 15,875.98, 23,805.47 and 5,342.50 is: 8,010.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,875.98 : 23,805.47 = 5,342.50 : x
  2. Step 2: Convert to fraction form
    15,875.98/23,805.47 = 5,342.50/x
  3. Step 3: Cross multiply
    15,875.98x = 23,805.47 × 5,342.50
  4. Step 4: Simplify right side
    15,875.98x = 127,180,736.54
  5. Step 5: Solve for x
    x = 127,180,736.54/15,875.98
  6. Step 6: Final answer
    x = 8,010.89

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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.