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Finding the Fourth Proportional to 17,984.19, 24,818.20 and 10,026.26

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Solution

The fourth proportional to 17,984.19, 24,818.20 and 10,026.26 is: 13,836.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,984.19 : 24,818.20 = 10,026.26 : x
  2. Step 2: Convert to fraction form
    17,984.19/24,818.20 = 10,026.26/x
  3. Step 3: Cross multiply
    17,984.19x = 24,818.20 × 10,026.26
  4. Step 4: Simplify right side
    17,984.19x = 248,833,576.78
  5. Step 5: Solve for x
    x = 248,833,576.78/17,984.19
  6. Step 6: Final answer
    x = 13,836.24

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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.