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Finding the Fourth Proportional to 17,547.90, 24,217.27 and 9,893.06

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Solution

The fourth proportional to 17,547.90, 24,217.27 and 9,893.06 is: 13,653.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,547.90 : 24,217.27 = 9,893.06 : x
  2. Step 2: Convert to fraction form
    17,547.90/24,217.27 = 9,893.06/x
  3. Step 3: Cross multiply
    17,547.90x = 24,217.27 × 9,893.06
  4. Step 4: Simplify right side
    17,547.90x = 239,582,795.14
  5. Step 5: Solve for x
    x = 239,582,795.14/17,547.90
  6. Step 6: Final answer
    x = 13,653.08

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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.