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Finding the Fourth Proportional to 15,648, 23,473.92 and 4,704

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Solution

The fourth proportional to 15,648, 23,473.92 and 4,704 is: 7,056.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,648 : 23,473.92 = 4,704 : x
  2. Step 2: Convert to fraction form
    15,648/23,473.92 = 4,704/x
  3. Step 3: Cross multiply
    15,648x = 23,473.92 × 4,704
  4. Step 4: Simplify right side
    15,648x = 110,421,319.68
  5. Step 5: Solve for x
    x = 110,421,319.68/15,648
  6. Step 6: Final answer
    x = 7,056.58

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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.