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Finding the Fourth Proportional to 13,023.39, 19,492.46 and 7,085.45

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Solution

The fourth proportional to 13,023.39, 19,492.46 and 7,085.45 is: 10,604.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023.39 : 19,492.46 = 7,085.45 : x
  2. Step 2: Convert to fraction form
    13,023.39/19,492.46 = 7,085.45/x
  3. Step 3: Cross multiply
    13,023.39x = 19,492.46 × 7,085.45
  4. Step 4: Simplify right side
    13,023.39x = 138,112,850.71
  5. Step 5: Solve for x
    x = 138,112,850.71/13,023.39
  6. Step 6: Final answer
    x = 10,604.98

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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.