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Finding the Fourth Proportional to 17,095.25, 23,592.26 and 9,643.25

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Solution

The fourth proportional to 17,095.25, 23,592.26 and 9,643.25 is: 13,308.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,095.25 : 23,592.26 = 9,643.25 : x
  2. Step 2: Convert to fraction form
    17,095.25/23,592.26 = 9,643.25/x
  3. Step 3: Cross multiply
    17,095.25x = 23,592.26 × 9,643.25
  4. Step 4: Simplify right side
    17,095.25x = 227,506,061.25
  5. Step 5: Solve for x
    x = 227,506,061.25/17,095.25
  6. Step 6: Final answer
    x = 13,308.14

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