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Finding the Fourth Proportional to 15,409.48, 23,114.22 and 6,169

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Solution

The fourth proportional to 15,409.48, 23,114.22 and 6,169 is: 9,253.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,409.48 : 23,114.22 = 6,169 : x
  2. Step 2: Convert to fraction form
    15,409.48/23,114.22 = 6,169/x
  3. Step 3: Cross multiply
    15,409.48x = 23,114.22 × 6,169
  4. Step 4: Simplify right side
    15,409.48x = 142,591,623.18
  5. Step 5: Solve for x
    x = 142,591,623.18/15,409.48
  6. Step 6: Final answer
    x = 9,253.50

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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.