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Finding the Fourth Proportional to 15,653.16, 23,473.80 and 4,556.16

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Solution

The fourth proportional to 15,653.16, 23,473.80 and 4,556.16 is: 6,832.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,653.16 : 23,473.80 = 4,556.16 : x
  2. Step 2: Convert to fraction form
    15,653.16/23,473.80 = 4,556.16/x
  3. Step 3: Cross multiply
    15,653.16x = 23,473.80 × 4,556.16
  4. Step 4: Simplify right side
    15,653.16x = 106,950,388.61
  5. Step 5: Solve for x
    x = 106,950,388.61/15,653.16
  6. Step 6: Final answer
    x = 6,832.51

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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.