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Finding the Fourth Proportional to 13,102.72, 19,657.16 and 4,337.63

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Solution

The fourth proportional to 13,102.72, 19,657.16 and 4,337.63 is: 6,507.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,102.72 : 19,657.16 = 4,337.63 : x
  2. Step 2: Convert to fraction form
    13,102.72/19,657.16 = 4,337.63/x
  3. Step 3: Cross multiply
    13,102.72x = 19,657.16 × 4,337.63
  4. Step 4: Simplify right side
    13,102.72x = 85,265,486.93
  5. Step 5: Solve for x
    x = 85,265,486.93/13,102.72
  6. Step 6: Final answer
    x = 6,507.46

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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.