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Finding the Fourth Proportional to 13,715.48, 18,931.96 and 9,748.12

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Solution

The fourth proportional to 13,715.48, 18,931.96 and 9,748.12 is: 13,455.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,715.48 : 18,931.96 = 9,748.12 : x
  2. Step 2: Convert to fraction form
    13,715.48/18,931.96 = 9,748.12/x
  3. Step 3: Cross multiply
    13,715.48x = 18,931.96 × 9,748.12
  4. Step 4: Simplify right side
    13,715.48x = 184,551,017.92
  5. Step 5: Solve for x
    x = 184,551,017.92/13,715.48
  6. Step 6: Final answer
    x = 13,455.67

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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.