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Finding the Fourth Proportional to 15,709.76, 23,550 and 5,314.24

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Solution

The fourth proportional to 15,709.76, 23,550 and 5,314.24 is: 7,966.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,709.76 : 23,550 = 5,314.24 : x
  2. Step 2: Convert to fraction form
    15,709.76/23,550 = 5,314.24/x
  3. Step 3: Cross multiply
    15,709.76x = 23,550 × 5,314.24
  4. Step 4: Simplify right side
    15,709.76x = 125,150,352
  5. Step 5: Solve for x
    x = 125,150,352/15,709.76
  6. Step 6: Final answer
    x = 7,966.41

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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.