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Finding the Fourth Proportional to 14,194.52, 19,564.44 and 9,710.54

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Solution

The fourth proportional to 14,194.52, 19,564.44 and 9,710.54 is: 13,384.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,194.52 : 19,564.44 = 9,710.54 : x
  2. Step 2: Convert to fraction form
    14,194.52/19,564.44 = 9,710.54/x
  3. Step 3: Cross multiply
    14,194.52x = 19,564.44 × 9,710.54
  4. Step 4: Simplify right side
    14,194.52x = 189,981,277.20
  5. Step 5: Solve for x
    x = 189,981,277.20/14,194.52
  6. Step 6: Final answer
    x = 13,384.13

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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.