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Finding the Fourth Proportional to 14,533.84, 20,051.52 and 9,500.95

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Solution

The fourth proportional to 14,533.84, 20,051.52 and 9,500.95 is: 13,107.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,533.84 : 20,051.52 = 9,500.95 : x
  2. Step 2: Convert to fraction form
    14,533.84/20,051.52 = 9,500.95/x
  3. Step 3: Cross multiply
    14,533.84x = 20,051.52 × 9,500.95
  4. Step 4: Simplify right side
    14,533.84x = 190,508,388.69
  5. Step 5: Solve for x
    x = 190,508,388.69/14,533.84
  6. Step 6: Final answer
    x = 13,107.92

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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.