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Finding the Fourth Proportional to 14,130.86, 19,501.49 and 7,843.23

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Solution

The fourth proportional to 14,130.86, 19,501.49 and 7,843.23 is: 10,824.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,130.86 : 19,501.49 = 7,843.23 : x
  2. Step 2: Convert to fraction form
    14,130.86/19,501.49 = 7,843.23/x
  3. Step 3: Cross multiply
    14,130.86x = 19,501.49 × 7,843.23
  4. Step 4: Simplify right side
    14,130.86x = 152,954,691.02
  5. Step 5: Solve for x
    x = 152,954,691.02/14,130.86
  6. Step 6: Final answer
    x = 10,824.16

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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.