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Finding the Fourth Proportional to 17,685.66, 26,533.04 and 5,206.11

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Solution

The fourth proportional to 17,685.66, 26,533.04 and 5,206.11 is: 7,810.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,685.66 : 26,533.04 = 5,206.11 : x
  2. Step 2: Convert to fraction form
    17,685.66/26,533.04 = 5,206.11/x
  3. Step 3: Cross multiply
    17,685.66x = 26,533.04 × 5,206.11
  4. Step 4: Simplify right side
    17,685.66x = 138,133,924.87
  5. Step 5: Solve for x
    x = 138,133,924.87/17,685.66
  6. Step 6: Final answer
    x = 7,810.50

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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.