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Finding the Fourth Proportional to 16,547.74, 24,806.58 and 6,013.24

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Solution

The fourth proportional to 16,547.74, 24,806.58 and 6,013.24 is: 9,014.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,547.74 : 24,806.58 = 6,013.24 : x
  2. Step 2: Convert to fraction form
    16,547.74/24,806.58 = 6,013.24/x
  3. Step 3: Cross multiply
    16,547.74x = 24,806.58 × 6,013.24
  4. Step 4: Simplify right side
    16,547.74x = 149,167,919.12
  5. Step 5: Solve for x
    x = 149,167,919.12/16,547.74
  6. Step 6: Final answer
    x = 9,014.40

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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.