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Finding the Fourth Proportional to 16,547.84, 24,832 and 6,167.04

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Solution

The fourth proportional to 16,547.84, 24,832 and 6,167.04 is: 9,254.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,547.84 : 24,832 = 6,167.04 : x
  2. Step 2: Convert to fraction form
    16,547.84/24,832 = 6,167.04/x
  3. Step 3: Cross multiply
    16,547.84x = 24,832 × 6,167.04
  4. Step 4: Simplify right side
    16,547.84x = 153,139,937.28
  5. Step 5: Solve for x
    x = 153,139,937.28/16,547.84
  6. Step 6: Final answer
    x = 9,254.38

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Why These Related Problems?

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