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Finding the Fourth Proportional to 17,763.84, 24,512.78 and 10,210.19

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Solution

The fourth proportional to 17,763.84, 24,512.78 and 10,210.19 is: 14,089.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,763.84 : 24,512.78 = 10,210.19 : x
  2. Step 2: Convert to fraction form
    17,763.84/24,512.78 = 10,210.19/x
  3. Step 3: Cross multiply
    17,763.84x = 24,512.78 × 10,210.19
  4. Step 4: Simplify right side
    17,763.84x = 250,279,967.61
  5. Step 5: Solve for x
    x = 250,279,967.61/17,763.84
  6. Step 6: Final answer
    x = 14,089.29

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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.