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Finding the Fourth Proportional to 16,544.88, 22,829.76 and 9,470.88

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Solution

The fourth proportional to 16,544.88, 22,829.76 and 9,470.88 is: 13,068.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,544.88 : 22,829.76 = 9,470.88 : x
  2. Step 2: Convert to fraction form
    16,544.88/22,829.76 = 9,470.88/x
  3. Step 3: Cross multiply
    16,544.88x = 22,829.76 × 9,470.88
  4. Step 4: Simplify right side
    16,544.88x = 216,217,917.39
  5. Step 5: Solve for x
    x = 216,217,917.39/16,544.88
  6. Step 6: Final answer
    x = 13,068.57

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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.