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Finding the Fourth Proportional to 13,700.32, 20,549.76 and 4,339.84

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Solution

The fourth proportional to 13,700.32, 20,549.76 and 4,339.84 is: 6,509.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,700.32 : 20,549.76 = 4,339.84 : x
  2. Step 2: Convert to fraction form
    13,700.32/20,549.76 = 4,339.84/x
  3. Step 3: Cross multiply
    13,700.32x = 20,549.76 × 4,339.84
  4. Step 4: Simplify right side
    13,700.32x = 89,182,670.44
  5. Step 5: Solve for x
    x = 89,182,670.44/13,700.32
  6. Step 6: Final answer
    x = 6,509.53

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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.