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Finding the Fourth Proportional to 23,332.80, 32,189.10 and 14,830.35

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Solution

The fourth proportional to 23,332.80, 32,189.10 and 14,830.35 is: 20,459.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,332.80 : 32,189.10 = 14,830.35 : x
  2. Step 2: Convert to fraction form
    23,332.80/32,189.10 = 14,830.35/x
  3. Step 3: Cross multiply
    23,332.80x = 32,189.10 × 14,830.35
  4. Step 4: Simplify right side
    23,332.80x = 477,375,619.19
  5. Step 5: Solve for x
    x = 477,375,619.19/23,332.80
  6. Step 6: Final answer
    x = 20,459.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.