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Finding the Fourth Proportional to 17,065.71, 23,547.82 and 9,510.38

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Solution

The fourth proportional to 17,065.71, 23,547.82 and 9,510.38 is: 13,122.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,065.71 : 23,547.82 = 9,510.38 : x
  2. Step 2: Convert to fraction form
    17,065.71/23,547.82 = 9,510.38/x
  3. Step 3: Cross multiply
    17,065.71x = 23,547.82 × 9,510.38
  4. Step 4: Simplify right side
    17,065.71x = 223,948,716.37
  5. Step 5: Solve for x
    x = 223,948,716.37/17,065.71
  6. Step 6: Final answer
    x = 13,122.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.