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Finding the Fourth Proportional to 14,424.80, 19,906.47 and 8,460.77

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Solution

The fourth proportional to 14,424.80, 19,906.47 and 8,460.77 is: 11,676.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,424.80 : 19,906.47 = 8,460.77 : x
  2. Step 2: Convert to fraction form
    14,424.80/19,906.47 = 8,460.77/x
  3. Step 3: Cross multiply
    14,424.80x = 19,906.47 × 8,460.77
  4. Step 4: Simplify right side
    14,424.80x = 168,424,064.18
  5. Step 5: Solve for x
    x = 168,424,064.18/14,424.80
  6. Step 6: Final answer
    x = 11,676.01

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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.