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Finding the Fourth Proportional to 13,142.81, 19,702.47 and 4,820.88

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Solution

The fourth proportional to 13,142.81, 19,702.47 and 4,820.88 is: 7,227.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,142.81 : 19,702.47 = 4,820.88 : x
  2. Step 2: Convert to fraction form
    13,142.81/19,702.47 = 4,820.88/x
  3. Step 3: Cross multiply
    13,142.81x = 19,702.47 × 4,820.88
  4. Step 4: Simplify right side
    13,142.81x = 94,983,243.57
  5. Step 5: Solve for x
    x = 94,983,243.57/13,142.81
  6. Step 6: Final answer
    x = 7,227.01

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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.