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Finding the Fourth Proportional to 13,381.60, 20,084.73 and 6,812.50

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Solution

The fourth proportional to 13,381.60, 20,084.73 and 6,812.50 is: 10,225.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,381.60 : 20,084.73 = 6,812.50 : x
  2. Step 2: Convert to fraction form
    13,381.60/20,084.73 = 6,812.50/x
  3. Step 3: Cross multiply
    13,381.60x = 20,084.73 × 6,812.50
  4. Step 4: Simplify right side
    13,381.60x = 136,827,223.13
  5. Step 5: Solve for x
    x = 136,827,223.13/13,381.60
  6. Step 6: Final answer
    x = 10,225.03

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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.