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Finding the Fourth Proportional to 15,887.76, 23,835.69 and 9,319.74

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Solution

The fourth proportional to 15,887.76, 23,835.69 and 9,319.74 is: 13,981.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,887.76 : 23,835.69 = 9,319.74 : x
  2. Step 2: Convert to fraction form
    15,887.76/23,835.69 = 9,319.74/x
  3. Step 3: Cross multiply
    15,887.76x = 23,835.69 × 9,319.74
  4. Step 4: Simplify right side
    15,887.76x = 222,142,433.52
  5. Step 5: Solve for x
    x = 222,142,433.52/15,887.76
  6. Step 6: Final answer
    x = 13,981.99

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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.