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Finding the Fourth Proportional to 17,786.25, 24,547.19 and 10,334.25

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Solution

The fourth proportional to 17,786.25, 24,547.19 and 10,334.25 is: 14,262.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,786.25 : 24,547.19 = 10,334.25 : x
  2. Step 2: Convert to fraction form
    17,786.25/24,547.19 = 10,334.25/x
  3. Step 3: Cross multiply
    17,786.25x = 24,547.19 × 10,334.25
  4. Step 4: Simplify right side
    17,786.25x = 253,676,746.59
  5. Step 5: Solve for x
    x = 253,676,746.59/17,786.25
  6. Step 6: Final answer
    x = 14,262.52

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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.