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Finding the Fourth Proportional to 14,006.84, 21,012.76 and 4,647.42

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Solution

The fourth proportional to 14,006.84, 21,012.76 and 4,647.42 is: 6,971.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,006.84 : 21,012.76 = 4,647.42 : x
  2. Step 2: Convert to fraction form
    14,006.84/21,012.76 = 4,647.42/x
  3. Step 3: Cross multiply
    14,006.84x = 21,012.76 × 4,647.42
  4. Step 4: Simplify right side
    14,006.84x = 97,655,053.55
  5. Step 5: Solve for x
    x = 97,655,053.55/14,006.84
  6. Step 6: Final answer
    x = 6,971.96

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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.