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Finding the Fourth Proportional to 25,143.34, 34,697.80 and 13,813.16

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Solution

The fourth proportional to 25,143.34, 34,697.80 and 13,813.16 is: 19,062.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,143.34 : 34,697.80 = 13,813.16 : x
  2. Step 2: Convert to fraction form
    25,143.34/34,697.80 = 13,813.16/x
  3. Step 3: Cross multiply
    25,143.34x = 34,697.80 × 13,813.16
  4. Step 4: Simplify right side
    25,143.34x = 479,286,263.05
  5. Step 5: Solve for x
    x = 479,286,263.05/25,143.34
  6. Step 6: Final answer
    x = 19,062.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.