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Finding the Fourth Proportional to 13,094.77, 19,637.90 and 5,697.04

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Solution

The fourth proportional to 13,094.77, 19,637.90 and 5,697.04 is: 8,543.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,094.77 : 19,637.90 = 5,697.04 : x
  2. Step 2: Convert to fraction form
    13,094.77/19,637.90 = 5,697.04/x
  3. Step 3: Cross multiply
    13,094.77x = 19,637.90 × 5,697.04
  4. Step 4: Simplify right side
    13,094.77x = 111,877,775.14
  5. Step 5: Solve for x
    x = 111,877,775.14/13,094.77
  6. Step 6: Final answer
    x = 8,543.70

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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.