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Finding the Fourth Proportional to 23,700, 35,547.16 and 6,171.20

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Solution

The fourth proportional to 23,700, 35,547.16 and 6,171.20 is: 9,256.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,700 : 35,547.16 = 6,171.20 : x
  2. Step 2: Convert to fraction form
    23,700/35,547.16 = 6,171.20/x
  3. Step 3: Cross multiply
    23,700x = 35,547.16 × 6,171.20
  4. Step 4: Simplify right side
    23,700x = 219,368,633.79
  5. Step 5: Solve for x
    x = 219,368,633.79/23,700
  6. Step 6: Final answer
    x = 9,256.06

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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.