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Finding the Fourth Proportional to 13,420.58, 18,520.53 and 7,830.50

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Solution

The fourth proportional to 13,420.58, 18,520.53 and 7,830.50 is: 10,806.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,420.58 : 18,520.53 = 7,830.50 : x
  2. Step 2: Convert to fraction form
    13,420.58/18,520.53 = 7,830.50/x
  3. Step 3: Cross multiply
    13,420.58x = 18,520.53 × 7,830.50
  4. Step 4: Simplify right side
    13,420.58x = 145,025,010.17
  5. Step 5: Solve for x
    x = 145,025,010.17/13,420.58
  6. Step 6: Final answer
    x = 10,806.17

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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.