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Finding the Fourth Proportional to 20,852.80, 31,277.76 and 9,165.76

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Solution

The fourth proportional to 20,852.80, 31,277.76 and 9,165.76 is: 13,748.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,852.80 : 31,277.76 = 9,165.76 : x
  2. Step 2: Convert to fraction form
    20,852.80/31,277.76 = 9,165.76/x
  3. Step 3: Cross multiply
    20,852.80x = 31,277.76 × 9,165.76
  4. Step 4: Simplify right side
    20,852.80x = 286,684,441.50
  5. Step 5: Solve for x
    x = 286,684,441.50/20,852.80
  6. Step 6: Final answer
    x = 13,748.01

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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.