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Finding the Fourth Proportional to 16,547.87, 24,823.63 and 4,862

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Solution

The fourth proportional to 16,547.87, 24,823.63 and 4,862 is: 7,293.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,547.87 : 24,823.63 = 4,862 : x
  2. Step 2: Convert to fraction form
    16,547.87/24,823.63 = 4,862/x
  3. Step 3: Cross multiply
    16,547.87x = 24,823.63 × 4,862
  4. Step 4: Simplify right side
    16,547.87x = 120,692,489.06
  5. Step 5: Solve for x
    x = 120,692,489.06/16,547.87
  6. Step 6: Final answer
    x = 7,293.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.