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Finding the Fourth Proportional to 14,137.14, 19,484.74 and 10,594.20

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Solution

The fourth proportional to 14,137.14, 19,484.74 and 10,594.20 is: 14,601.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,137.14 : 19,484.74 = 10,594.20 : x
  2. Step 2: Convert to fraction form
    14,137.14/19,484.74 = 10,594.20/x
  3. Step 3: Cross multiply
    14,137.14x = 19,484.74 × 10,594.20
  4. Step 4: Simplify right side
    14,137.14x = 206,425,232.51
  5. Step 5: Solve for x
    x = 206,425,232.51/14,137.14
  6. Step 6: Final answer
    x = 14,601.63

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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.