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Finding the Fourth Proportional to 13,033.59, 17,981.64 and 8,559.77

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Solution

The fourth proportional to 13,033.59, 17,981.64 and 8,559.77 is: 11,809.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,033.59 : 17,981.64 = 8,559.77 : x
  2. Step 2: Convert to fraction form
    13,033.59/17,981.64 = 8,559.77/x
  3. Step 3: Cross multiply
    13,033.59x = 17,981.64 × 8,559.77
  4. Step 4: Simplify right side
    13,033.59x = 153,918,612.71
  5. Step 5: Solve for x
    x = 153,918,612.71/13,033.59
  6. Step 6: Final answer
    x = 11,809.38

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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.