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Finding the Fourth Proportional to 14,242.12, 19,645.91 and 8,572.93

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Solution

The fourth proportional to 14,242.12, 19,645.91 and 8,572.93 is: 11,825.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,242.12 : 19,645.91 = 8,572.93 : x
  2. Step 2: Convert to fraction form
    14,242.12/19,645.91 = 8,572.93/x
  3. Step 3: Cross multiply
    14,242.12x = 19,645.91 × 8,572.93
  4. Step 4: Simplify right side
    14,242.12x = 168,422,951.39
  5. Step 5: Solve for x
    x = 168,422,951.39/14,242.12
  6. Step 6: Final answer
    x = 11,825.70

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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.