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Finding the Fourth Proportional to 12,595.24, 18,893.06 and 3,830.63

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Solution

The fourth proportional to 12,595.24, 18,893.06 and 3,830.63 is: 5,746.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,595.24 : 18,893.06 = 3,830.63 : x
  2. Step 2: Convert to fraction form
    12,595.24/18,893.06 = 3,830.63/x
  3. Step 3: Cross multiply
    12,595.24x = 18,893.06 × 3,830.63
  4. Step 4: Simplify right side
    12,595.24x = 72,372,303.27
  5. Step 5: Solve for x
    x = 72,372,303.27/12,595.24
  6. Step 6: Final answer
    x = 5,746.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.