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Finding the Fourth Proportional to 12,547.76, 17,318.19 and 8,567.42

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Solution

The fourth proportional to 12,547.76, 17,318.19 and 8,567.42 is: 11,824.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,547.76 : 17,318.19 = 8,567.42 : x
  2. Step 2: Convert to fraction form
    12,547.76/17,318.19 = 8,567.42/x
  3. Step 3: Cross multiply
    12,547.76x = 17,318.19 × 8,567.42
  4. Step 4: Simplify right side
    12,547.76x = 148,372,207.37
  5. Step 5: Solve for x
    x = 148,372,207.37/12,547.76
  6. Step 6: Final answer
    x = 11,824.60

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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.