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Finding the Fourth Proportional to 13,026.94, 19,468.89 and 9,524.32

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Solution

The fourth proportional to 13,026.94, 19,468.89 and 9,524.32 is: 14,234.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,026.94 : 19,468.89 = 9,524.32 : x
  2. Step 2: Convert to fraction form
    13,026.94/19,468.89 = 9,524.32/x
  3. Step 3: Cross multiply
    13,026.94x = 19,468.89 × 9,524.32
  4. Step 4: Simplify right side
    13,026.94x = 185,427,938.40
  5. Step 5: Solve for x
    x = 185,427,938.40/13,026.94
  6. Step 6: Final answer
    x = 14,234.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.