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Finding the Fourth Proportional to 14,734.81, 22,041.46 and 9,461.71

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Solution

The fourth proportional to 14,734.81, 22,041.46 and 9,461.71 is: 14,153.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,734.81 : 22,041.46 = 9,461.71 : x
  2. Step 2: Convert to fraction form
    14,734.81/22,041.46 = 9,461.71/x
  3. Step 3: Cross multiply
    14,734.81x = 22,041.46 × 9,461.71
  4. Step 4: Simplify right side
    14,734.81x = 208,549,902.50
  5. Step 5: Solve for x
    x = 208,549,902.50/14,734.81
  6. Step 6: Final answer
    x = 14,153.55

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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.