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Finding the Fourth Proportional to 13,408.57, 18,509.92 and 9,166.50

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Solution

The fourth proportional to 13,408.57, 18,509.92 and 9,166.50 is: 12,653.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,408.57 : 18,509.92 = 9,166.50 : x
  2. Step 2: Convert to fraction form
    13,408.57/18,509.92 = 9,166.50/x
  3. Step 3: Cross multiply
    13,408.57x = 18,509.92 × 9,166.50
  4. Step 4: Simplify right side
    13,408.57x = 169,671,158.76
  5. Step 5: Solve for x
    x = 169,671,158.76/13,408.57
  6. Step 6: Final answer
    x = 12,653.93

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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.