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Finding the Fourth Proportional to 14,509.52, 20,023.14 and 8,539.01

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Solution

The fourth proportional to 14,509.52, 20,023.14 and 8,539.01 is: 11,783.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,509.52 : 20,023.14 = 8,539.01 : x
  2. Step 2: Convert to fraction form
    14,509.52/20,023.14 = 8,539.01/x
  3. Step 3: Cross multiply
    14,509.52x = 20,023.14 × 8,539.01
  4. Step 4: Simplify right side
    14,509.52x = 170,977,692.58
  5. Step 5: Solve for x
    x = 170,977,692.58/14,509.52
  6. Step 6: Final answer
    x = 11,783.83

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1.5x scale

Why These Related Problems?

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