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Finding the Fourth Proportional to 14,652, 20,223.06 and 10,409.22

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Solution

The fourth proportional to 14,652, 20,223.06 and 10,409.22 is: 14,367.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,652 : 20,223.06 = 10,409.22 : x
  2. Step 2: Convert to fraction form
    14,652/20,223.06 = 10,409.22/x
  3. Step 3: Cross multiply
    14,652x = 20,223.06 × 10,409.22
  4. Step 4: Simplify right side
    14,652x = 210,506,280.61
  5. Step 5: Solve for x
    x = 210,506,280.61/14,652
  6. Step 6: Final answer
    x = 14,367.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.