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Finding the Fourth Proportional to 13,038.72, 17,993.16 and 7,070.16

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Solution

The fourth proportional to 13,038.72, 17,993.16 and 7,070.16 is: 9,756.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,038.72 : 17,993.16 = 7,070.16 : x
  2. Step 2: Convert to fraction form
    13,038.72/17,993.16 = 7,070.16/x
  3. Step 3: Cross multiply
    13,038.72x = 17,993.16 × 7,070.16
  4. Step 4: Simplify right side
    13,038.72x = 127,214,520.11
  5. Step 5: Solve for x
    x = 127,214,520.11/13,038.72
  6. Step 6: Final answer
    x = 9,756.67

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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.