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Finding the Fourth Proportional to 13,691.90, 20,547.58 and 12,369.98

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Solution

The fourth proportional to 13,691.90, 20,547.58 and 12,369.98 is: 18,563.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,691.90 : 20,547.58 = 12,369.98 : x
  2. Step 2: Convert to fraction form
    13,691.90/20,547.58 = 12,369.98/x
  3. Step 3: Cross multiply
    13,691.90x = 20,547.58 × 12,369.98
  4. Step 4: Simplify right side
    13,691.90x = 254,173,153.65
  5. Step 5: Solve for x
    x = 254,173,153.65/13,691.90
  6. Step 6: Final answer
    x = 18,563.76

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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.