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Finding the Fourth Proportional to 14,897.22, 22,348.71 and 5,662.50

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Solution

The fourth proportional to 14,897.22, 22,348.71 and 5,662.50 is: 8,494.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,897.22 : 22,348.71 = 5,662.50 : x
  2. Step 2: Convert to fraction form
    14,897.22/22,348.71 = 5,662.50/x
  3. Step 3: Cross multiply
    14,897.22x = 22,348.71 × 5,662.50
  4. Step 4: Simplify right side
    14,897.22x = 126,549,570.38
  5. Step 5: Solve for x
    x = 126,549,570.38/14,897.22
  6. Step 6: Final answer
    x = 8,494.84

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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.