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Finding the Fourth Proportional to 14,592.60, 21,884.04 and 4,729.50

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Solution

The fourth proportional to 14,592.60, 21,884.04 and 4,729.50 is: 7,092.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,592.60 : 21,884.04 = 4,729.50 : x
  2. Step 2: Convert to fraction form
    14,592.60/21,884.04 = 4,729.50/x
  3. Step 3: Cross multiply
    14,592.60x = 21,884.04 × 4,729.50
  4. Step 4: Simplify right side
    14,592.60x = 103,500,567.18
  5. Step 5: Solve for x
    x = 103,500,567.18/14,592.60
  6. Step 6: Final answer
    x = 7,092.67

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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.