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Finding the Fourth Proportional to 14,450.68, 19,929.46 and 9,413

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Solution

The fourth proportional to 14,450.68, 19,929.46 and 9,413 is: 12,981.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,450.68 : 19,929.46 = 9,413 : x
  2. Step 2: Convert to fraction form
    14,450.68/19,929.46 = 9,413/x
  3. Step 3: Cross multiply
    14,450.68x = 19,929.46 × 9,413
  4. Step 4: Simplify right side
    14,450.68x = 187,596,006.98
  5. Step 5: Solve for x
    x = 187,596,006.98/14,450.68
  6. Step 6: Final answer
    x = 12,981.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.