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Finding the Fourth Proportional to 14,847.52, 22,353.40 and 12,290.08

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Solution

The fourth proportional to 14,847.52, 22,353.40 and 12,290.08 is: 18,503.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,847.52 : 22,353.40 = 12,290.08 : x
  2. Step 2: Convert to fraction form
    14,847.52/22,353.40 = 12,290.08/x
  3. Step 3: Cross multiply
    14,847.52x = 22,353.40 × 12,290.08
  4. Step 4: Simplify right side
    14,847.52x = 274,725,074.27
  5. Step 5: Solve for x
    x = 274,725,074.27/14,847.52
  6. Step 6: Final answer
    x = 18,503.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.