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Finding the Fourth Proportional to 12,716.83, 17,547.08 and 8,474.22

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Solution

The fourth proportional to 12,716.83, 17,547.08 and 8,474.22 is: 11,693.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,716.83 : 17,547.08 = 8,474.22 : x
  2. Step 2: Convert to fraction form
    12,716.83/17,547.08 = 8,474.22/x
  3. Step 3: Cross multiply
    12,716.83x = 17,547.08 × 8,474.22
  4. Step 4: Simplify right side
    12,716.83x = 148,697,821.57
  5. Step 5: Solve for x
    x = 148,697,821.57/12,716.83
  6. Step 6: Final answer
    x = 11,693.00

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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.