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Finding the Fourth Proportional to 14,262.84, 21,402.36 and 7,688.88

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Solution

The fourth proportional to 14,262.84, 21,402.36 and 7,688.88 is: 11,537.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,262.84 : 21,402.36 = 7,688.88 : x
  2. Step 2: Convert to fraction form
    14,262.84/21,402.36 = 7,688.88/x
  3. Step 3: Cross multiply
    14,262.84x = 21,402.36 × 7,688.88
  4. Step 4: Simplify right side
    14,262.84x = 164,560,177.76
  5. Step 5: Solve for x
    x = 164,560,177.76/14,262.84
  6. Step 6: Final answer
    x = 11,537.69

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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.