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Finding the Fourth Proportional to 14,319.42, 21,470.49 and 6,420.50

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Solution

The fourth proportional to 14,319.42, 21,470.49 and 6,420.50 is: 9,626.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,319.42 : 21,470.49 = 6,420.50 : x
  2. Step 2: Convert to fraction form
    14,319.42/21,470.49 = 6,420.50/x
  3. Step 3: Cross multiply
    14,319.42x = 21,470.49 × 6,420.50
  4. Step 4: Simplify right side
    14,319.42x = 137,851,254.21
  5. Step 5: Solve for x
    x = 137,851,254.21/14,319.42
  6. Step 6: Final answer
    x = 9,626.88

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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.