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Finding the Fourth Proportional to 17,858.95, 26,751.97 and 8,470.51

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Solution

The fourth proportional to 17,858.95, 26,751.97 and 8,470.51 is: 12,688.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,858.95 : 26,751.97 = 8,470.51 : x
  2. Step 2: Convert to fraction form
    17,858.95/26,751.97 = 8,470.51/x
  3. Step 3: Cross multiply
    17,858.95x = 26,751.97 × 8,470.51
  4. Step 4: Simplify right side
    17,858.95x = 226,602,829.40
  5. Step 5: Solve for x
    x = 226,602,829.40/17,858.95
  6. Step 6: Final answer
    x = 12,688.47

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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.