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Finding the Fourth Proportional to 22,798.96, 31,458.54 and 13,844.68

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Solution

The fourth proportional to 22,798.96, 31,458.54 and 13,844.68 is: 19,103.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,798.96 : 31,458.54 = 13,844.68 : x
  2. Step 2: Convert to fraction form
    22,798.96/31,458.54 = 13,844.68/x
  3. Step 3: Cross multiply
    22,798.96x = 31,458.54 × 13,844.68
  4. Step 4: Simplify right side
    22,798.96x = 435,533,419.57
  5. Step 5: Solve for x
    x = 435,533,419.57/22,798.96
  6. Step 6: Final answer
    x = 19,103.21

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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.