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Finding the Fourth Proportional to 13,283.64, 19,937.78 and 6,714.45

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Solution

The fourth proportional to 13,283.64, 19,937.78 and 6,714.45 is: 10,077.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,283.64 : 19,937.78 = 6,714.45 : x
  2. Step 2: Convert to fraction form
    13,283.64/19,937.78 = 6,714.45/x
  3. Step 3: Cross multiply
    13,283.64x = 19,937.78 × 6,714.45
  4. Step 4: Simplify right side
    13,283.64x = 133,871,193.35
  5. Step 5: Solve for x
    x = 133,871,193.35/13,283.64
  6. Step 6: Final answer
    x = 10,077.90

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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.