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Finding the Fourth Proportional to 13,678.98, 20,506.47 and 4,792.87

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Solution

The fourth proportional to 13,678.98, 20,506.47 and 4,792.87 is: 7,185.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,678.98 : 20,506.47 = 4,792.87 : x
  2. Step 2: Convert to fraction form
    13,678.98/20,506.47 = 4,792.87/x
  3. Step 3: Cross multiply
    13,678.98x = 20,506.47 × 4,792.87
  4. Step 4: Simplify right side
    13,678.98x = 98,284,852.53
  5. Step 5: Solve for x
    x = 98,284,852.53/13,678.98
  6. Step 6: Final answer
    x = 7,185.10

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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.