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Finding the Fourth Proportional to 13,419.04, 20,124.01 and 5,097.05

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Solution

The fourth proportional to 13,419.04, 20,124.01 and 5,097.05 is: 7,643.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,419.04 : 20,124.01 = 5,097.05 : x
  2. Step 2: Convert to fraction form
    13,419.04/20,124.01 = 5,097.05/x
  3. Step 3: Cross multiply
    13,419.04x = 20,124.01 × 5,097.05
  4. Step 4: Simplify right side
    13,419.04x = 102,573,085.17
  5. Step 5: Solve for x
    x = 102,573,085.17/13,419.04
  6. Step 6: Final answer
    x = 7,643.85

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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.