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Finding the Fourth Proportional to 12,547.80, 17,316.36 and 6,882.96

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Solution

The fourth proportional to 12,547.80, 17,316.36 and 6,882.96 is: 9,498.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,547.80 : 17,316.36 = 6,882.96 : x
  2. Step 2: Convert to fraction form
    12,547.80/17,316.36 = 6,882.96/x
  3. Step 3: Cross multiply
    12,547.80x = 17,316.36 × 6,882.96
  4. Step 4: Simplify right side
    12,547.80x = 119,187,813.23
  5. Step 5: Solve for x
    x = 119,187,813.23/12,547.80
  6. Step 6: Final answer
    x = 9,498.70

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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.