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Finding the Fourth Proportional to 14,454.40, 21,671.09 and 9,762.78

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Solution

The fourth proportional to 14,454.40, 21,671.09 and 9,762.78 is: 14,637.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,454.40 : 21,671.09 = 9,762.78 : x
  2. Step 2: Convert to fraction form
    14,454.40/21,671.09 = 9,762.78/x
  3. Step 3: Cross multiply
    14,454.40x = 21,671.09 × 9,762.78
  4. Step 4: Simplify right side
    14,454.40x = 211,570,084.03
  5. Step 5: Solve for x
    x = 211,570,084.03/14,454.40
  6. Step 6: Final answer
    x = 14,637.07

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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.