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Finding the Fourth Proportional to 17,547.84, 24,217.58 and 9,992.52

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Solution

The fourth proportional to 17,547.84, 24,217.58 and 9,992.52 is: 13,790.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,547.84 : 24,217.58 = 9,992.52 : x
  2. Step 2: Convert to fraction form
    17,547.84/24,217.58 = 9,992.52/x
  3. Step 3: Cross multiply
    17,547.84x = 24,217.58 × 9,992.52
  4. Step 4: Simplify right side
    17,547.84x = 241,994,652.50
  5. Step 5: Solve for x
    x = 241,994,652.50/17,547.84
  6. Step 6: Final answer
    x = 13,790.57

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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.