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Finding the Fourth Proportional to 17,633.90, 26,430.00 and 7,752.51

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Solution

The fourth proportional to 17,633.90, 26,430.00 and 7,752.51 is: 11,619.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,633.90 : 26,430.00 = 7,752.51 : x
  2. Step 2: Convert to fraction form
    17,633.90/26,430.00 = 7,752.51/x
  3. Step 3: Cross multiply
    17,633.90x = 26,430.00 × 7,752.51
  4. Step 4: Simplify right side
    17,633.90x = 204,898,810.23
  5. Step 5: Solve for x
    x = 204,898,810.23/17,633.90
  6. Step 6: Final answer
    x = 11,619.60

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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.