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Finding the Fourth Proportional to 11,547.80, 17,242.96 and 9,181.16

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Solution

The fourth proportional to 11,547.80, 17,242.96 and 9,181.16 is: 13,709.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,547.80 : 17,242.96 = 9,181.16 : x
  2. Step 2: Convert to fraction form
    11,547.80/17,242.96 = 9,181.16/x
  3. Step 3: Cross multiply
    11,547.80x = 17,242.96 × 9,181.16
  4. Step 4: Simplify right side
    11,547.80x = 158,310,374.63
  5. Step 5: Solve for x
    x = 158,310,374.63/11,547.80
  6. Step 6: Final answer
    x = 13,709.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.