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Finding the Fourth Proportional to 11,582.70, 17,355.51 and 11,275.16

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Solution

The fourth proportional to 11,582.70, 17,355.51 and 11,275.16 is: 16,894.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,582.70 : 17,355.51 = 11,275.16 : x
  2. Step 2: Convert to fraction form
    11,582.70/17,355.51 = 11,275.16/x
  3. Step 3: Cross multiply
    11,582.70x = 17,355.51 × 11,275.16
  4. Step 4: Simplify right side
    11,582.70x = 195,686,065.35
  5. Step 5: Solve for x
    x = 195,686,065.35/11,582.70
  6. Step 6: Final answer
    x = 16,894.68

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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.