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Finding the Fourth Proportional to 14,522.84, 21,755.72 and 9,577.40

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Solution

The fourth proportional to 14,522.84, 21,755.72 and 9,577.40 is: 14,347.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,522.84 : 21,755.72 = 9,577.40 : x
  2. Step 2: Convert to fraction form
    14,522.84/21,755.72 = 9,577.40/x
  3. Step 3: Cross multiply
    14,522.84x = 21,755.72 × 9,577.40
  4. Step 4: Simplify right side
    14,522.84x = 208,363,232.73
  5. Step 5: Solve for x
    x = 208,363,232.73/14,522.84
  6. Step 6: Final answer
    x = 14,347.28

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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.