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Finding the Fourth Proportional to 13,142.56, 19,702.11 and 4,820.63

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Solution

The fourth proportional to 13,142.56, 19,702.11 and 4,820.63 is: 7,226.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,142.56 : 19,702.11 = 4,820.63 : x
  2. Step 2: Convert to fraction form
    13,142.56/19,702.11 = 4,820.63/x
  3. Step 3: Cross multiply
    13,142.56x = 19,702.11 × 4,820.63
  4. Step 4: Simplify right side
    13,142.56x = 94,976,582.53
  5. Step 5: Solve for x
    x = 94,976,582.53/13,142.56
  6. Step 6: Final answer
    x = 7,226.65

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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.