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Finding the Fourth Proportional to 16,716.83, 23,068.19 and 9,547.57

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Solution

The fourth proportional to 16,716.83, 23,068.19 and 9,547.57 is: 13,175.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,716.83 : 23,068.19 = 9,547.57 : x
  2. Step 2: Convert to fraction form
    16,716.83/23,068.19 = 9,547.57/x
  3. Step 3: Cross multiply
    16,716.83x = 23,068.19 × 9,547.57
  4. Step 4: Simplify right side
    16,716.83x = 220,244,995.72
  5. Step 5: Solve for x
    x = 220,244,995.72/16,716.83
  6. Step 6: Final answer
    x = 13,175.05

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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.