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Finding the Fourth Proportional to 12,705.63, 19,052.11 and 7,441.95

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Solution

The fourth proportional to 12,705.63, 19,052.11 and 7,441.95 is: 11,159.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,705.63 : 19,052.11 = 7,441.95 : x
  2. Step 2: Convert to fraction form
    12,705.63/19,052.11 = 7,441.95/x
  3. Step 3: Cross multiply
    12,705.63x = 19,052.11 × 7,441.95
  4. Step 4: Simplify right side
    12,705.63x = 141,784,877.18
  5. Step 5: Solve for x
    x = 141,784,877.18/12,705.63
  6. Step 6: Final answer
    x = 11,159.21

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Why These Related Problems?

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