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Finding the Fourth Proportional to 16,547.37, 24,820.97 and 7,186.16

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Solution

The fourth proportional to 16,547.37, 24,820.97 and 7,186.16 is: 10,779.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,547.37 : 24,820.97 = 7,186.16 : x
  2. Step 2: Convert to fraction form
    16,547.37/24,820.97 = 7,186.16/x
  3. Step 3: Cross multiply
    16,547.37x = 24,820.97 × 7,186.16
  4. Step 4: Simplify right side
    16,547.37x = 178,367,301.74
  5. Step 5: Solve for x
    x = 178,367,301.74/16,547.37
  6. Step 6: Final answer
    x = 10,779.19

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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.