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Finding the Fourth Proportional to 15,834.79, 23,752 and 6,479.83

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Solution

The fourth proportional to 15,834.79, 23,752 and 6,479.83 is: 9,719.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,834.79 : 23,752 = 6,479.83 : x
  2. Step 2: Convert to fraction form
    15,834.79/23,752 = 6,479.83/x
  3. Step 3: Cross multiply
    15,834.79x = 23,752 × 6,479.83
  4. Step 4: Simplify right side
    15,834.79x = 153,908,922.16
  5. Step 5: Solve for x
    x = 153,908,922.16/15,834.79
  6. Step 6: Final answer
    x = 9,719.67

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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.