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Finding the Fourth Proportional to 25,798.35, 38,698.38 and 9,158.16

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Solution

The fourth proportional to 25,798.35, 38,698.38 and 9,158.16 is: 13,737.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,798.35 : 38,698.38 = 9,158.16 : x
  2. Step 2: Convert to fraction form
    25,798.35/38,698.38 = 9,158.16/x
  3. Step 3: Cross multiply
    25,798.35x = 38,698.38 × 9,158.16
  4. Step 4: Simplify right side
    25,798.35x = 354,405,955.78
  5. Step 5: Solve for x
    x = 354,405,955.78/25,798.35
  6. Step 6: Final answer
    x = 13,737.54

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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.