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Finding the Fourth Proportional to 13,526.93, 18,667.05 and 7,558.53

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Solution

The fourth proportional to 13,526.93, 18,667.05 and 7,558.53 is: 10,430.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,526.93 : 18,667.05 = 7,558.53 : x
  2. Step 2: Convert to fraction form
    13,526.93/18,667.05 = 7,558.53/x
  3. Step 3: Cross multiply
    13,526.93x = 18,667.05 × 7,558.53
  4. Step 4: Simplify right side
    13,526.93x = 141,095,457.44
  5. Step 5: Solve for x
    x = 141,095,457.44/13,526.93
  6. Step 6: Final answer
    x = 10,430.71

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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.