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Finding the Fourth Proportional to 23,038.40, 34,548.96 and 9,884

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Solution

The fourth proportional to 23,038.40, 34,548.96 and 9,884 is: 14,822.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,038.40 : 34,548.96 = 9,884 : x
  2. Step 2: Convert to fraction form
    23,038.40/34,548.96 = 9,884/x
  3. Step 3: Cross multiply
    23,038.40x = 34,548.96 × 9,884
  4. Step 4: Simplify right side
    23,038.40x = 341,481,920.64
  5. Step 5: Solve for x
    x = 341,481,920.64/23,038.40
  6. Step 6: Final answer
    x = 14,822.29

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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.