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Finding the Fourth Proportional to 14,533.80, 20,059.65 and 9,498.84

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Solution

The fourth proportional to 14,533.80, 20,059.65 and 9,498.84 is: 13,110.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,533.80 : 20,059.65 = 9,498.84 : x
  2. Step 2: Convert to fraction form
    14,533.80/20,059.65 = 9,498.84/x
  3. Step 3: Cross multiply
    14,533.80x = 20,059.65 × 9,498.84
  4. Step 4: Simplify right side
    14,533.80x = 190,543,405.81
  5. Step 5: Solve for x
    x = 190,543,405.81/14,533.80
  6. Step 6: Final answer
    x = 13,110.36

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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.