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Finding the Fourth Proportional to 14,881.84, 22,326 and 6,559.12

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Solution

The fourth proportional to 14,881.84, 22,326 and 6,559.12 is: 9,840.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,881.84 : 22,326 = 6,559.12 : x
  2. Step 2: Convert to fraction form
    14,881.84/22,326 = 6,559.12/x
  3. Step 3: Cross multiply
    14,881.84x = 22,326 × 6,559.12
  4. Step 4: Simplify right side
    14,881.84x = 146,438,913.12
  5. Step 5: Solve for x
    x = 146,438,913.12/14,881.84
  6. Step 6: Final answer
    x = 9,840.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.