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Finding the Fourth Proportional to 16,547.70, 24,821.50 and 7,186.51

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Solution

The fourth proportional to 16,547.70, 24,821.50 and 7,186.51 is: 10,779.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,547.70 : 24,821.50 = 7,186.51 : x
  2. Step 2: Convert to fraction form
    16,547.70/24,821.50 = 7,186.51/x
  3. Step 3: Cross multiply
    16,547.70x = 24,821.50 × 7,186.51
  4. Step 4: Simplify right side
    16,547.70x = 178,379,957.97
  5. Step 5: Solve for x
    x = 178,379,957.97/16,547.70
  6. Step 6: Final answer
    x = 10,779.74

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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.