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Finding the Fourth Proportional to 14,301.84, 19,722.32 and 8,709.36

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Solution

The fourth proportional to 14,301.84, 19,722.32 and 8,709.36 is: 12,010.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,301.84 : 19,722.32 = 8,709.36 : x
  2. Step 2: Convert to fraction form
    14,301.84/19,722.32 = 8,709.36/x
  3. Step 3: Cross multiply
    14,301.84x = 19,722.32 × 8,709.36
  4. Step 4: Simplify right side
    14,301.84x = 171,768,784.92
  5. Step 5: Solve for x
    x = 171,768,784.92/14,301.84
  6. Step 6: Final answer
    x = 12,010.26

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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.