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Finding the Fourth Proportional to 14,993.64, 22,369.23 and 13,499.06

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Solution

The fourth proportional to 14,993.64, 22,369.23 and 13,499.06 is: 20,139.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,993.64 : 22,369.23 = 13,499.06 : x
  2. Step 2: Convert to fraction form
    14,993.64/22,369.23 = 13,499.06/x
  3. Step 3: Cross multiply
    14,993.64x = 22,369.23 × 13,499.06
  4. Step 4: Simplify right side
    14,993.64x = 301,963,466.08
  5. Step 5: Solve for x
    x = 301,963,466.08/14,993.64
  6. Step 6: Final answer
    x = 20,139.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.