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Finding the Fourth Proportional to 15,860.88, 23,774.16 and 7,083.72

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Solution

The fourth proportional to 15,860.88, 23,774.16 and 7,083.72 is: 10,617.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,860.88 : 23,774.16 = 7,083.72 : x
  2. Step 2: Convert to fraction form
    15,860.88/23,774.16 = 7,083.72/x
  3. Step 3: Cross multiply
    15,860.88x = 23,774.16 × 7,083.72
  4. Step 4: Simplify right side
    15,860.88x = 168,409,492.68
  5. Step 5: Solve for x
    x = 168,409,492.68/15,860.88
  6. Step 6: Final answer
    x = 10,617.92

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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.