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Finding the Fourth Proportional to 14,916.42, 20,585.14 and 8,202.67

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Solution

The fourth proportional to 14,916.42, 20,585.14 and 8,202.67 is: 11,319.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,916.42 : 20,585.14 = 8,202.67 : x
  2. Step 2: Convert to fraction form
    14,916.42/20,585.14 = 8,202.67/x
  3. Step 3: Cross multiply
    14,916.42x = 20,585.14 × 8,202.67
  4. Step 4: Simplify right side
    14,916.42x = 168,853,038.35
  5. Step 5: Solve for x
    x = 168,853,038.35/14,916.42
  6. Step 6: Final answer
    x = 11,319.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.