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Finding the Fourth Proportional to 24,225, 33,430.64 and 14,661.72

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Solution

The fourth proportional to 24,225, 33,430.64 and 14,661.72 is: 20,233.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,225 : 33,430.64 = 14,661.72 : x
  2. Step 2: Convert to fraction form
    24,225/33,430.64 = 14,661.72/x
  3. Step 3: Cross multiply
    24,225x = 33,430.64 × 14,661.72
  4. Step 4: Simplify right side
    24,225x = 490,150,683.10
  5. Step 5: Solve for x
    x = 490,150,683.10/24,225
  6. Step 6: Final answer
    x = 20,233.26

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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.