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Finding the Fourth Proportional to 15,409.62, 23,116.79 and 6,525

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Solution

The fourth proportional to 15,409.62, 23,116.79 and 6,525 is: 9,788.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,409.62 : 23,116.79 = 6,525 : x
  2. Step 2: Convert to fraction form
    15,409.62/23,116.79 = 6,525/x
  3. Step 3: Cross multiply
    15,409.62x = 23,116.79 × 6,525
  4. Step 4: Simplify right side
    15,409.62x = 150,837,071.06
  5. Step 5: Solve for x
    x = 150,837,071.06/15,409.62
  6. Step 6: Final answer
    x = 9,788.50

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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.