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Finding the Fourth Proportional to 13,588.70, 18,750.60 and 7,538.86

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Solution

The fourth proportional to 13,588.70, 18,750.60 and 7,538.86 is: 10,402.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,588.70 : 18,750.60 = 7,538.86 : x
  2. Step 2: Convert to fraction form
    13,588.70/18,750.60 = 7,538.86/x
  3. Step 3: Cross multiply
    13,588.70x = 18,750.60 × 7,538.86
  4. Step 4: Simplify right side
    13,588.70x = 141,358,171.75
  5. Step 5: Solve for x
    x = 141,358,171.75/13,588.70
  6. Step 6: Final answer
    x = 10,402.63

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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.