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Finding the Fourth Proportional to 13,539.84, 18,683.64 and 7,570.50

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Solution

The fourth proportional to 13,539.84, 18,683.64 and 7,570.50 is: 10,446.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,539.84 : 18,683.64 = 7,570.50 : x
  2. Step 2: Convert to fraction form
    13,539.84/18,683.64 = 7,570.50/x
  3. Step 3: Cross multiply
    13,539.84x = 18,683.64 × 7,570.50
  4. Step 4: Simplify right side
    13,539.84x = 141,444,496.62
  5. Step 5: Solve for x
    x = 141,444,496.62/13,539.84
  6. Step 6: Final answer
    x = 10,446.54

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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.