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Finding the Fourth Proportional to 14,577.16, 21,868.94 and 4,717.44

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Solution

The fourth proportional to 14,577.16, 21,868.94 and 4,717.44 is: 7,077.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,577.16 : 21,868.94 = 4,717.44 : x
  2. Step 2: Convert to fraction form
    14,577.16/21,868.94 = 4,717.44/x
  3. Step 3: Cross multiply
    14,577.16x = 21,868.94 × 4,717.44
  4. Step 4: Simplify right side
    14,577.16x = 103,165,412.31
  5. Step 5: Solve for x
    x = 103,165,412.31/14,577.16
  6. Step 6: Final answer
    x = 7,077.20

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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.