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Finding the Fourth Proportional to 43,787.16, 65,680.72 and 14,205.00

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Solution

The fourth proportional to 43,787.16, 65,680.72 and 14,205.00 is: 21,307.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,787.16 : 65,680.72 = 14,205.00 : x
  2. Step 2: Convert to fraction form
    43,787.16/65,680.72 = 14,205.00/x
  3. Step 3: Cross multiply
    43,787.16x = 65,680.72 × 14,205.00
  4. Step 4: Simplify right side
    43,787.16x = 932,994,364.11
  5. Step 5: Solve for x
    x = 932,994,364.11/43,787.16
  6. Step 6: Final answer
    x = 21,307.49

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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.