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Finding the Fourth Proportional to 13,598.37, 20,408.63 and 7,026.57

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Solution

The fourth proportional to 13,598.37, 20,408.63 and 7,026.57 is: 10,545.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,598.37 : 20,408.63 = 7,026.57 : x
  2. Step 2: Convert to fraction form
    13,598.37/20,408.63 = 7,026.57/x
  3. Step 3: Cross multiply
    13,598.37x = 20,408.63 × 7,026.57
  4. Step 4: Simplify right side
    13,598.37x = 143,402,632.17
  5. Step 5: Solve for x
    x = 143,402,632.17/13,598.37
  6. Step 6: Final answer
    x = 10,545.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.