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Finding the Fourth Proportional to 14,577.57, 21,863.93 and 4,715.42

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Solution

The fourth proportional to 14,577.57, 21,863.93 and 4,715.42 is: 7,072.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,577.57 : 21,863.93 = 4,715.42 : x
  2. Step 2: Convert to fraction form
    14,577.57/21,863.93 = 4,715.42/x
  3. Step 3: Cross multiply
    14,577.57x = 21,863.93 × 4,715.42
  4. Step 4: Simplify right side
    14,577.57x = 103,097,479.90
  5. Step 5: Solve for x
    x = 103,097,479.90/14,577.57
  6. Step 6: Final answer
    x = 7,072.34

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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.