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Finding the Fourth Proportional to 14,684.42, 20,264.52 and 7,970.05

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Solution

The fourth proportional to 14,684.42, 20,264.52 and 7,970.05 is: 10,998.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,684.42 : 20,264.52 = 7,970.05 : x
  2. Step 2: Convert to fraction form
    14,684.42/20,264.52 = 7,970.05/x
  3. Step 3: Cross multiply
    14,684.42x = 20,264.52 × 7,970.05
  4. Step 4: Simplify right side
    14,684.42x = 161,509,116.38
  5. Step 5: Solve for x
    x = 161,509,116.38/14,684.42
  6. Step 6: Final answer
    x = 10,998.67

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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.