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Finding the Fourth Proportional to 15,792.09, 23,689.40 and 9,218.94

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Solution

The fourth proportional to 15,792.09, 23,689.40 and 9,218.94 is: 13,829.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,792.09 : 23,689.40 = 9,218.94 : x
  2. Step 2: Convert to fraction form
    15,792.09/23,689.40 = 9,218.94/x
  3. Step 3: Cross multiply
    15,792.09x = 23,689.40 × 9,218.94
  4. Step 4: Simplify right side
    15,792.09x = 218,391,111.14
  5. Step 5: Solve for x
    x = 218,391,111.14/15,792.09
  6. Step 6: Final answer
    x = 13,829.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.