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Finding the Fourth Proportional to 17,382.70, 26,037.60 and 9,582.40

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Solution

The fourth proportional to 17,382.70, 26,037.60 and 9,582.40 is: 14,353.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,382.70 : 26,037.60 = 9,582.40 : x
  2. Step 2: Convert to fraction form
    17,382.70/26,037.60 = 9,582.40/x
  3. Step 3: Cross multiply
    17,382.70x = 26,037.60 × 9,582.40
  4. Step 4: Simplify right side
    17,382.70x = 249,502,698.24
  5. Step 5: Solve for x
    x = 249,502,698.24/17,382.70
  6. Step 6: Final answer
    x = 14,353.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.