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Finding the Fourth Proportional to 13,130.70, 18,126.50 and 8,417.67

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Solution

The fourth proportional to 13,130.70, 18,126.50 and 8,417.67 is: 11,620.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,130.70 : 18,126.50 = 8,417.67 : x
  2. Step 2: Convert to fraction form
    13,130.70/18,126.50 = 8,417.67/x
  3. Step 3: Cross multiply
    13,130.70x = 18,126.50 × 8,417.67
  4. Step 4: Simplify right side
    13,130.70x = 152,582,853.17
  5. Step 5: Solve for x
    x = 152,582,853.17/13,130.70
  6. Step 6: Final answer
    x = 11,620.31

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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.