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Finding the Fourth Proportional to 25,623.65, 38,447.33 and 9,823.40

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Solution

The fourth proportional to 25,623.65, 38,447.33 and 9,823.40 is: 14,739.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,623.65 : 38,447.33 = 9,823.40 : x
  2. Step 2: Convert to fraction form
    25,623.65/38,447.33 = 9,823.40/x
  3. Step 3: Cross multiply
    25,623.65x = 38,447.33 × 9,823.40
  4. Step 4: Simplify right side
    25,623.65x = 377,683,260.17
  5. Step 5: Solve for x
    x = 377,683,260.17/25,623.65
  6. Step 6: Final answer
    x = 14,739.64

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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.