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Finding the Fourth Proportional to 14,503.81, 20,004.15 and 9,722.26

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Solution

The fourth proportional to 14,503.81, 20,004.15 and 9,722.26 is: 13,409.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,503.81 : 20,004.15 = 9,722.26 : x
  2. Step 2: Convert to fraction form
    14,503.81/20,004.15 = 9,722.26/x
  3. Step 3: Cross multiply
    14,503.81x = 20,004.15 × 9,722.26
  4. Step 4: Simplify right side
    14,503.81x = 194,485,547.38
  5. Step 5: Solve for x
    x = 194,485,547.38/14,503.81
  6. Step 6: Final answer
    x = 13,409.27

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1.5x scale

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.