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Finding the Fourth Proportional to 13,539.84, 18,683.19 and 7,570.77

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Solution

The fourth proportional to 13,539.84, 18,683.19 and 7,570.77 is: 10,446.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,539.84 : 18,683.19 = 7,570.77 : x
  2. Step 2: Convert to fraction form
    13,539.84/18,683.19 = 7,570.77/x
  3. Step 3: Cross multiply
    13,539.84x = 18,683.19 × 7,570.77
  4. Step 4: Simplify right side
    13,539.84x = 141,446,134.36
  5. Step 5: Solve for x
    x = 141,446,134.36/13,539.84
  6. Step 6: Final answer
    x = 10,446.66

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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.