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Finding the Fourth Proportional to 15,682.55, 23,492.77 and 9,444.20

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Solution

The fourth proportional to 15,682.55, 23,492.77 and 9,444.20 is: 14,147.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,682.55 : 23,492.77 = 9,444.20 : x
  2. Step 2: Convert to fraction form
    15,682.55/23,492.77 = 9,444.20/x
  3. Step 3: Cross multiply
    15,682.55x = 23,492.77 × 9,444.20
  4. Step 4: Simplify right side
    15,682.55x = 221,870,277.36
  5. Step 5: Solve for x
    x = 221,870,277.36/15,682.55
  6. Step 6: Final answer
    x = 14,147.59

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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.