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Finding the Fourth Proportional to 14,648.84, 21,981.90 and 5,421.32

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Solution

The fourth proportional to 14,648.84, 21,981.90 and 5,421.32 is: 8,135.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,648.84 : 21,981.90 = 5,421.32 : x
  2. Step 2: Convert to fraction form
    14,648.84/21,981.90 = 5,421.32/x
  3. Step 3: Cross multiply
    14,648.84x = 21,981.90 × 5,421.32
  4. Step 4: Simplify right side
    14,648.84x = 119,170,914.11
  5. Step 5: Solve for x
    x = 119,170,914.11/14,648.84
  6. Step 6: Final answer
    x = 8,135.18

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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.