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Finding the Fourth Proportional to 17,869.10, 24,661.17 and 9,911.30

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Solution

The fourth proportional to 17,869.10, 24,661.17 and 9,911.30 is: 13,678.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,869.10 : 24,661.17 = 9,911.30 : x
  2. Step 2: Convert to fraction form
    17,869.10/24,661.17 = 9,911.30/x
  3. Step 3: Cross multiply
    17,869.10x = 24,661.17 × 9,911.30
  4. Step 4: Simplify right side
    17,869.10x = 244,424,254.22
  5. Step 5: Solve for x
    x = 244,424,254.22/17,869.10
  6. Step 6: Final answer
    x = 13,678.60

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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.