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Finding the Fourth Proportional to 12,547.88, 17,318.78 and 7,513.22

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Solution

The fourth proportional to 12,547.88, 17,318.78 and 7,513.22 is: 10,369.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,547.88 : 17,318.78 = 7,513.22 : x
  2. Step 2: Convert to fraction form
    12,547.88/17,318.78 = 7,513.22/x
  3. Step 3: Cross multiply
    12,547.88x = 17,318.78 × 7,513.22
  4. Step 4: Simplify right side
    12,547.88x = 130,119,680.11
  5. Step 5: Solve for x
    x = 130,119,680.11/12,547.88
  6. Step 6: Final answer
    x = 10,369.86

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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.