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Finding the Fourth Proportional to 14,023, 21,034.52 and 5,707.56

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Solution

The fourth proportional to 14,023, 21,034.52 and 5,707.56 is: 8,561.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,023 : 21,034.52 = 5,707.56 : x
  2. Step 2: Convert to fraction form
    14,023/21,034.52 = 5,707.56/x
  3. Step 3: Cross multiply
    14,023x = 21,034.52 × 5,707.56
  4. Step 4: Simplify right side
    14,023x = 120,055,784.97
  5. Step 5: Solve for x
    x = 120,055,784.97/14,023
  6. Step 6: Final answer
    x = 8,561.35

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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.