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Finding the Fourth Proportional to 15,676, 23,624.05 and 14,117.74

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Solution

The fourth proportional to 15,676, 23,624.05 and 14,117.74 is: 21,275.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,676 : 23,624.05 = 14,117.74 : x
  2. Step 2: Convert to fraction form
    15,676/23,624.05 = 14,117.74/x
  3. Step 3: Cross multiply
    15,676x = 23,624.05 × 14,117.74
  4. Step 4: Simplify right side
    15,676x = 333,518,195.65
  5. Step 5: Solve for x
    x = 333,518,195.65/15,676
  6. Step 6: Final answer
    x = 21,275.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.