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Finding the Fourth Proportional to 22,952.69, 31,674 and 12,743.51

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Solution

The fourth proportional to 22,952.69, 31,674 and 12,743.51 is: 17,585.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,952.69 : 31,674 = 12,743.51 : x
  2. Step 2: Convert to fraction form
    22,952.69/31,674 = 12,743.51/x
  3. Step 3: Cross multiply
    22,952.69x = 31,674 × 12,743.51
  4. Step 4: Simplify right side
    22,952.69x = 403,637,777.37
  5. Step 5: Solve for x
    x = 403,637,777.37/22,952.69
  6. Step 6: Final answer
    x = 17,585.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.