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Finding the Fourth Proportional to 14,507.88, 21,761.82 and 4,647.96

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Solution

The fourth proportional to 14,507.88, 21,761.82 and 4,647.96 is: 6,971.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,507.88 : 21,761.82 = 4,647.96 : x
  2. Step 2: Convert to fraction form
    14,507.88/21,761.82 = 4,647.96/x
  3. Step 3: Cross multiply
    14,507.88x = 21,761.82 × 4,647.96
  4. Step 4: Simplify right side
    14,507.88x = 101,148,068.89
  5. Step 5: Solve for x
    x = 101,148,068.89/14,507.88
  6. Step 6: Final answer
    x = 6,971.94

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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.