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Finding the Fourth Proportional to 14,865, 22,280.64 and 6,958.08

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Solution

The fourth proportional to 14,865, 22,280.64 and 6,958.08 is: 10,429.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,865 : 22,280.64 = 6,958.08 : x
  2. Step 2: Convert to fraction form
    14,865/22,280.64 = 6,958.08/x
  3. Step 3: Cross multiply
    14,865x = 22,280.64 × 6,958.08
  4. Step 4: Simplify right side
    14,865x = 155,030,475.57
  5. Step 5: Solve for x
    x = 155,030,475.57/14,865
  6. Step 6: Final answer
    x = 10,429.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.