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Finding the Fourth Proportional to 17,054.66, 25,585.78 and 6,666.50

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Solution

The fourth proportional to 17,054.66, 25,585.78 and 6,666.50 is: 10,001.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,054.66 : 25,585.78 = 6,666.50 : x
  2. Step 2: Convert to fraction form
    17,054.66/25,585.78 = 6,666.50/x
  3. Step 3: Cross multiply
    17,054.66x = 25,585.78 × 6,666.50
  4. Step 4: Simplify right side
    17,054.66x = 170,567,602.37
  5. Step 5: Solve for x
    x = 170,567,602.37/17,054.66
  6. Step 6: Final answer
    x = 10,001.23

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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.