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Finding the Fourth Proportional to 15,728.65, 23,597.06 and 5,868

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Solution

The fourth proportional to 15,728.65, 23,597.06 and 5,868 is: 8,803.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,728.65 : 23,597.06 = 5,868 : x
  2. Step 2: Convert to fraction form
    15,728.65/23,597.06 = 5,868/x
  3. Step 3: Cross multiply
    15,728.65x = 23,597.06 × 5,868
  4. Step 4: Simplify right side
    15,728.65x = 138,467,518.74
  5. Step 5: Solve for x
    x = 138,467,518.74/15,728.65
  6. Step 6: Final answer
    x = 8,803.52

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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.