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Finding the Fourth Proportional to 24,703.38, 37,035.63 and 17,678.25

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Solution

The fourth proportional to 24,703.38, 37,035.63 and 17,678.25 is: 26,503.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,703.38 : 37,035.63 = 17,678.25 : x
  2. Step 2: Convert to fraction form
    24,703.38/37,035.63 = 17,678.25/x
  3. Step 3: Cross multiply
    24,703.38x = 37,035.63 × 17,678.25
  4. Step 4: Simplify right side
    24,703.38x = 654,725,126.05
  5. Step 5: Solve for x
    x = 654,725,126.05/24,703.38
  6. Step 6: Final answer
    x = 26,503.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.