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Finding the Fourth Proportional to 21,547.41, 32,310.73 and 7,507.13

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Solution

The fourth proportional to 21,547.41, 32,310.73 and 7,507.13 is: 11,257.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,547.41 : 32,310.73 = 7,507.13 : x
  2. Step 2: Convert to fraction form
    21,547.41/32,310.73 = 7,507.13/x
  3. Step 3: Cross multiply
    21,547.41x = 32,310.73 × 7,507.13
  4. Step 4: Simplify right side
    21,547.41x = 242,560,850.50
  5. Step 5: Solve for x
    x = 242,560,850.50/21,547.41
  6. Step 6: Final answer
    x = 11,257.08

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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.