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Finding the Fourth Proportional to 29,743.84, 41,030.96 and 17,637.28

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Solution

The fourth proportional to 29,743.84, 41,030.96 and 17,637.28 is: 24,330.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,743.84 : 41,030.96 = 17,637.28 : x
  2. Step 2: Convert to fraction form
    29,743.84/41,030.96 = 17,637.28/x
  3. Step 3: Cross multiply
    29,743.84x = 41,030.96 × 17,637.28
  4. Step 4: Simplify right side
    29,743.84x = 723,674,339.43
  5. Step 5: Solve for x
    x = 723,674,339.43/29,743.84
  6. Step 6: Final answer
    x = 24,330.22

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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.