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Finding the Fourth Proportional to 17,036, 23,510.04 and 9,584

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Solution

The fourth proportional to 17,036, 23,510.04 and 9,584 is: 13,226.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,036 : 23,510.04 = 9,584 : x
  2. Step 2: Convert to fraction form
    17,036/23,510.04 = 9,584/x
  3. Step 3: Cross multiply
    17,036x = 23,510.04 × 9,584
  4. Step 4: Simplify right side
    17,036x = 225,320,223.36
  5. Step 5: Solve for x
    x = 225,320,223.36/17,036
  6. Step 6: Final answer
    x = 13,226.12

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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.