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Finding the Fourth Proportional to 13,417.50, 18,518.34 and 7,827.42

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Solution

The fourth proportional to 13,417.50, 18,518.34 and 7,827.42 is: 10,803.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,417.50 : 18,518.34 = 7,827.42 : x
  2. Step 2: Convert to fraction form
    13,417.50/18,518.34 = 7,827.42/x
  3. Step 3: Cross multiply
    13,417.50x = 18,518.34 × 7,827.42
  4. Step 4: Simplify right side
    13,417.50x = 144,950,824.88
  5. Step 5: Solve for x
    x = 144,950,824.88/13,417.50
  6. Step 6: Final answer
    x = 10,803.12

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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.