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Finding the Fourth Proportional to 13,503.61, 18,631.98 and 7,835.07

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Solution

The fourth proportional to 13,503.61, 18,631.98 and 7,835.07 is: 10,810.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,503.61 : 18,631.98 = 7,835.07 : x
  2. Step 2: Convert to fraction form
    13,503.61/18,631.98 = 7,835.07/x
  3. Step 3: Cross multiply
    13,503.61x = 18,631.98 × 7,835.07
  4. Step 4: Simplify right side
    13,503.61x = 145,982,735.20
  5. Step 5: Solve for x
    x = 145,982,735.20/13,503.61
  6. Step 6: Final answer
    x = 10,810.65

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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.