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Finding the Fourth Proportional to 17,823.51, 24,596.19 and 9,865.65

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Solution

The fourth proportional to 17,823.51, 24,596.19 and 9,865.65 is: 13,614.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,823.51 : 24,596.19 = 9,865.65 : x
  2. Step 2: Convert to fraction form
    17,823.51/24,596.19 = 9,865.65/x
  3. Step 3: Cross multiply
    17,823.51x = 24,596.19 × 9,865.65
  4. Step 4: Simplify right side
    17,823.51x = 242,657,401.87
  5. Step 5: Solve for x
    x = 242,657,401.87/17,823.51
  6. Step 6: Final answer
    x = 13,614.46

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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.