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Finding the Fourth Proportional to 13,544.83, 20,312.18 and 4,657.64

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Solution

The fourth proportional to 13,544.83, 20,312.18 and 4,657.64 is: 6,984.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,544.83 : 20,312.18 = 4,657.64 : x
  2. Step 2: Convert to fraction form
    13,544.83/20,312.18 = 4,657.64/x
  3. Step 3: Cross multiply
    13,544.83x = 20,312.18 × 4,657.64
  4. Step 4: Simplify right side
    13,544.83x = 94,606,822.06
  5. Step 5: Solve for x
    x = 94,606,822.06/13,544.83
  6. Step 6: Final answer
    x = 6,984.72

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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.