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Finding the Fourth Proportional to 14,675.40, 22,013.32 and 3,582.30

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Solution

The fourth proportional to 14,675.40, 22,013.32 and 3,582.30 is: 5,373.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,675.40 : 22,013.32 = 3,582.30 : x
  2. Step 2: Convert to fraction form
    14,675.40/22,013.32 = 3,582.30/x
  3. Step 3: Cross multiply
    14,675.40x = 22,013.32 × 3,582.30
  4. Step 4: Simplify right side
    14,675.40x = 78,858,316.24
  5. Step 5: Solve for x
    x = 78,858,316.24/14,675.40
  6. Step 6: Final answer
    x = 5,373.50

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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.