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Finding the Fourth Proportional to 14,407.84, 21,607.07 and 5,522.69

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Solution

The fourth proportional to 14,407.84, 21,607.07 and 5,522.69 is: 8,282.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,407.84 : 21,607.07 = 5,522.69 : x
  2. Step 2: Convert to fraction form
    14,407.84/21,607.07 = 5,522.69/x
  3. Step 3: Cross multiply
    14,407.84x = 21,607.07 × 5,522.69
  4. Step 4: Simplify right side
    14,407.84x = 119,329,175.82
  5. Step 5: Solve for x
    x = 119,329,175.82/14,407.84
  6. Step 6: Final answer
    x = 8,282.24

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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.