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Finding the Fourth Proportional to 13,023, 19,544.75 and 6,697.62

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Solution

The fourth proportional to 13,023, 19,544.75 and 6,697.62 is: 10,051.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023 : 19,544.75 = 6,697.62 : x
  2. Step 2: Convert to fraction form
    13,023/19,544.75 = 6,697.62/x
  3. Step 3: Cross multiply
    13,023x = 19,544.75 × 6,697.62
  4. Step 4: Simplify right side
    13,023x = 130,903,275.01
  5. Step 5: Solve for x
    x = 130,903,275.01/13,023
  6. Step 6: Final answer
    x = 10,051.70

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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.