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Finding the Fourth Proportional to 14,470.43, 19,960.23 and 9,931.03

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Solution

The fourth proportional to 14,470.43, 19,960.23 and 9,931.03 is: 13,698.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,470.43 : 19,960.23 = 9,931.03 : x
  2. Step 2: Convert to fraction form
    14,470.43/19,960.23 = 9,931.03/x
  3. Step 3: Cross multiply
    14,470.43x = 19,960.23 × 9,931.03
  4. Step 4: Simplify right side
    14,470.43x = 198,225,630.28
  5. Step 5: Solve for x
    x = 198,225,630.28/14,470.43
  6. Step 6: Final answer
    x = 13,698.67

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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.