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Finding the Fourth Proportional to 17,063, 23,547.48 and 9,611

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Solution

The fourth proportional to 17,063, 23,547.48 and 9,611 is: 13,263.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,063 : 23,547.48 = 9,611 : x
  2. Step 2: Convert to fraction form
    17,063/23,547.48 = 9,611/x
  3. Step 3: Cross multiply
    17,063x = 23,547.48 × 9,611
  4. Step 4: Simplify right side
    17,063x = 226,314,830.28
  5. Step 5: Solve for x
    x = 226,314,830.28/17,063
  6. Step 6: Final answer
    x = 13,263.48

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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.